In this paper, we introduce the modular sequence spaces generated by Cesàro mean of order one and... more In this paper, we introduce the modular sequence spaces generated by Cesàro mean of order one and give several properties relevant to algebraic and topological structures of these spaces. key words. Sequence space, Cesàro mean of order one, Orlicz function, completeness, AK-BK space. AMS subject classifications. 46A45, 40C05, 40A05, 46E30.
2021 International Conference on Information Technology (ICIT), 2021
In this paper Rayleigh distribution will be expanded to a new conformable fractional definition. ... more In this paper Rayleigh distribution will be expanded to a new conformable fractional definition. The new definition will shrink back the old Rayleigh distribution function to a special case when α → 1−. The paper will determine some of the properties and some entropy measures.
Turkish Journal of Computer and Mathematics Education (TURCOMAT)
This paper aims to investigate the user’s satisfaction with electric cars about charging stations... more This paper aims to investigate the user’s satisfaction with electric cars about charging stations (home, outdoor, and workplace). The descriptive approach was used. 403 questionnaires was distributed to the study population, 349 questionnaires are Usable. The Data were analyzed using Amos. The study found that there is an impact on the satisfaction of electric vehicle users in Jordan. we recommends to reducing the time spent charging electric vehicles at external charging stations, and increasing the quality of the mechanisms used in charging electric cars.
Abstract By considering the Caputo fractional derivative and Riemann-Liouville integral, in the p... more Abstract By considering the Caputo fractional derivative and Riemann-Liouville integral, in the present work, we are concerned with a nonlinear sequential fractional differential system of Duffing oscillator type. The considered system has neither the commutativity nor the semi group properties, since the sum of the two orders of derivatives, of the left hand side of the problem, are outside the interval [0,1]. With the absence of these two properties, we have to find other arguments to obtain the integral representation of the problem, to be able thereafter to present the other main results. Then, using the contraction mapping principle and Scheafer theorem, two main theorems on the uniqueness and existence of solutions are proved. Finally, some examples are given to illustrate the proposed main results.
Journal of Mathematical and Computational Science, 2021
The present paper is dealing with a new direction in the Caputo-Hadamrd approach. It is concerned... more The present paper is dealing with a new direction in the Caputo-Hadamrd approach. It is concerned with the solvability of an integro differential problem of type Lane and Emden. The studied problem involves Caputo-Hadamard derivative with new different fractional orders. The main results of existence of solutions are based on the contraction principle of Banach, however, for the existence of solutions, the use of Scheafer fixed point theorem is applied to prove the result. Three examples are discussed at the end of this work.
Malaysian Journal of Fundamental and Applied Sciences, 2014
In this paper we introduce the notion of n-sequence and extend the notion of statistical converge... more In this paper we introduce the notion of n-sequence and extend the notion of statistical convergence to n-sequences. Further we define the notion of eta-dual as a generalization of Kothe-Toeplitz dual for subsets of n-sequence spaces and compute eta-duals of some classical sets of n-sequences.
The purpose of this research was to evaluate the success of the two events in Thessaloniki, not o... more The purpose of this research was to evaluate the success of the two events in Thessaloniki, not only for the sporting part but also for the tourism impact on the athletes and escorts of the missions. The survey sample was 127 and 126, tournament participants. The questionnaire used was an adaptation from the Tzetzis, Alexandris & Kapsampeli (2014) small-scale service quality survey questionnaire. The results showed that both two athletic competitions were successful, and the athletes have been satisfied. However, it seems that there was no emphasis on non-competition activities and Thessaloniki was not advertise well. The processing of the samples shows that the safety of a city, the friendliness of its inhabitants, the cost of living, has a direct correlation with the image of a city and can influence positively or negatively the visitors and contribute decisively to their desire to visit this city again. In conclusion, we might say that athletic events should not only focus on the sporting event but also on a better promotion and advertising of the place.
2021 International Conference on Information Technology (ICIT), 2021
In this paper we present a method for solving nonlinear evolution equations of fractional conform... more In this paper we present a method for solving nonlinear evolution equations of fractional conformable derivatives in the sense of R. Khalil. The proposed method is based on some suitable transformations combined to the extended Tanh methods presented by A. Wazwaz in "Applied Mathematics and Computations, 2004", by E. Aksoy et al, for Jumarie derivatives, in "AIP Conference Proceedings, 2016", then by Pandir and Yildirim, with modified Riemann-Louville derivatives, in "Waves in Random and Complex Media, 2017". Some applications on Klein-Gordon equation with other examples are also discussed.
2021 International Conference on Information Technology (ICIT), 2021
In this paper we found out some properties of conformable fractional gamma with two parameters di... more In this paper we found out some properties of conformable fractional gamma with two parameters distribution. Also we found out some of the entropy measures the conformable fractional gamma with two parameters probability distribution.
Journal of Nonlinear Sciences and Applications, 2015
In this paper, we prove some common fixed point theorems for a pair of mappings satisfying certai... more In this paper, we prove some common fixed point theorems for a pair of mappings satisfying certain rational contractions in the frame work of complex valued metric besides discussing consequences of our main results. To illustrate our results and to distinguish them from the existing ones, we equip the paper with suitable examples.
Communications of the Korean Mathematical Society, 2017
Starting from a t-norm T , it is possible to construct a class of new t-norms, so-called T-genera... more Starting from a t-norm T , it is possible to construct a class of new t-norms, so-called T-generalized t-norm. The purpose of this paper is to describe some properties of this class of generalized t-norms. An algebraic structure as well as a binary relation among t-norms are also investigated. Some open problems are discussed as well.
In this paper the definition of fuzzy antinorm is modified. Some properties of finite dimensional... more In this paper the definition of fuzzy antinorm is modified. Some properties of finite dimensional fuzzy antinormed linear space are studied. Fuzzy
In this paper we define I -bitopological space (A, P,Q , −P,−Q) where P,Q and −P,−Q are I -topolo... more In this paper we define I -bitopological space (A, P,Q , −P,−Q) where P,Q and −P,−Q are I -topologies generated by the intuitionistic fuzzy quasi pseudo n -norms P, Q and −P, −Q. Further a charcterization of pairwise Hausdorff I -bitopological space is also established.
Acute prenecrotic damage to cardiomyocytes of lytic (myocytolysis, cytolysis) and contracture-lyt... more Acute prenecrotic damage to cardiomyocytes of lytic (myocytolysis, cytolysis) and contracture-lytic (primary lumpy degradation of myofibrils) types during ischemic and metabolic alteration of the myocardium are detected at the photooptic level by means of photochemical fluorochrome staining and examination under fluorescent light. Comparison of the fluorescent and polarization microscopic pictures showed that changes in cardiomyocytes are determined by local mass redistribution in the sarcomere compartments and transformations of birefraction of myofibrillar system components during necrobiosis. These changes are determined by lysis and coagulation processes in protein structures of sarcomeres.
ABSTRACT. The notion of a probabilistic metric space was introduced by Menger in 1942. The notion... more ABSTRACT. The notion of a probabilistic metric space was introduced by Menger in 1942. The notion of a probabilistic normed space was introduced in 1993. The aim of this paper is to give a necessary condition to get bounded linear operators in probabilistic normed space.
In this paper we redefined the definition of a bounded linear op- erator in probabilistic normed ... more In this paper we redefined the definition of a bounded linear op- erator in probabilistic normed space by introducing the notion of strongly - bounded linear maps. We then show that this new definition of boundedness implies all contraction functions in probabilistic normed space are bounded. Also, we introduce the classes of linear operators in probabilistic normed space, as the
Following the definition of intuitionistic fuzzy n-norm [ 3 ], we have introduced the definition ... more Following the definition of intuitionistic fuzzy n-norm [ 3 ], we have introduced the definition of intuitionistic fuzzy norm (in short IFN) over a linear space and there after a few results on intuitionistic fuzzy normed linear space and finite dimensional intuitionistic fuzzy normed linear space. Lastly, we have introduced the definitions of intuitionistic fuzzy continuity and sequentially intuitionistic fuzzy
International Journal of Open Problems in Computer Science and Mathematics, 2012
In this paper we establish the existence and uniqueness of related fixed points for mappings with... more In this paper we establish the existence and uniqueness of related fixed points for mappings with different contractive conditions in two complete fuzzy metric spaces.
In this paper, we introduce the modular sequence spaces generated by Cesàro mean of order one and... more In this paper, we introduce the modular sequence spaces generated by Cesàro mean of order one and give several properties relevant to algebraic and topological structures of these spaces. key words. Sequence space, Cesàro mean of order one, Orlicz function, completeness, AK-BK space. AMS subject classifications. 46A45, 40C05, 40A05, 46E30.
2021 International Conference on Information Technology (ICIT), 2021
In this paper Rayleigh distribution will be expanded to a new conformable fractional definition. ... more In this paper Rayleigh distribution will be expanded to a new conformable fractional definition. The new definition will shrink back the old Rayleigh distribution function to a special case when α → 1−. The paper will determine some of the properties and some entropy measures.
Turkish Journal of Computer and Mathematics Education (TURCOMAT)
This paper aims to investigate the user’s satisfaction with electric cars about charging stations... more This paper aims to investigate the user’s satisfaction with electric cars about charging stations (home, outdoor, and workplace). The descriptive approach was used. 403 questionnaires was distributed to the study population, 349 questionnaires are Usable. The Data were analyzed using Amos. The study found that there is an impact on the satisfaction of electric vehicle users in Jordan. we recommends to reducing the time spent charging electric vehicles at external charging stations, and increasing the quality of the mechanisms used in charging electric cars.
Abstract By considering the Caputo fractional derivative and Riemann-Liouville integral, in the p... more Abstract By considering the Caputo fractional derivative and Riemann-Liouville integral, in the present work, we are concerned with a nonlinear sequential fractional differential system of Duffing oscillator type. The considered system has neither the commutativity nor the semi group properties, since the sum of the two orders of derivatives, of the left hand side of the problem, are outside the interval [0,1]. With the absence of these two properties, we have to find other arguments to obtain the integral representation of the problem, to be able thereafter to present the other main results. Then, using the contraction mapping principle and Scheafer theorem, two main theorems on the uniqueness and existence of solutions are proved. Finally, some examples are given to illustrate the proposed main results.
Journal of Mathematical and Computational Science, 2021
The present paper is dealing with a new direction in the Caputo-Hadamrd approach. It is concerned... more The present paper is dealing with a new direction in the Caputo-Hadamrd approach. It is concerned with the solvability of an integro differential problem of type Lane and Emden. The studied problem involves Caputo-Hadamard derivative with new different fractional orders. The main results of existence of solutions are based on the contraction principle of Banach, however, for the existence of solutions, the use of Scheafer fixed point theorem is applied to prove the result. Three examples are discussed at the end of this work.
Malaysian Journal of Fundamental and Applied Sciences, 2014
In this paper we introduce the notion of n-sequence and extend the notion of statistical converge... more In this paper we introduce the notion of n-sequence and extend the notion of statistical convergence to n-sequences. Further we define the notion of eta-dual as a generalization of Kothe-Toeplitz dual for subsets of n-sequence spaces and compute eta-duals of some classical sets of n-sequences.
The purpose of this research was to evaluate the success of the two events in Thessaloniki, not o... more The purpose of this research was to evaluate the success of the two events in Thessaloniki, not only for the sporting part but also for the tourism impact on the athletes and escorts of the missions. The survey sample was 127 and 126, tournament participants. The questionnaire used was an adaptation from the Tzetzis, Alexandris & Kapsampeli (2014) small-scale service quality survey questionnaire. The results showed that both two athletic competitions were successful, and the athletes have been satisfied. However, it seems that there was no emphasis on non-competition activities and Thessaloniki was not advertise well. The processing of the samples shows that the safety of a city, the friendliness of its inhabitants, the cost of living, has a direct correlation with the image of a city and can influence positively or negatively the visitors and contribute decisively to their desire to visit this city again. In conclusion, we might say that athletic events should not only focus on the sporting event but also on a better promotion and advertising of the place.
2021 International Conference on Information Technology (ICIT), 2021
In this paper we present a method for solving nonlinear evolution equations of fractional conform... more In this paper we present a method for solving nonlinear evolution equations of fractional conformable derivatives in the sense of R. Khalil. The proposed method is based on some suitable transformations combined to the extended Tanh methods presented by A. Wazwaz in "Applied Mathematics and Computations, 2004", by E. Aksoy et al, for Jumarie derivatives, in "AIP Conference Proceedings, 2016", then by Pandir and Yildirim, with modified Riemann-Louville derivatives, in "Waves in Random and Complex Media, 2017". Some applications on Klein-Gordon equation with other examples are also discussed.
2021 International Conference on Information Technology (ICIT), 2021
In this paper we found out some properties of conformable fractional gamma with two parameters di... more In this paper we found out some properties of conformable fractional gamma with two parameters distribution. Also we found out some of the entropy measures the conformable fractional gamma with two parameters probability distribution.
Journal of Nonlinear Sciences and Applications, 2015
In this paper, we prove some common fixed point theorems for a pair of mappings satisfying certai... more In this paper, we prove some common fixed point theorems for a pair of mappings satisfying certain rational contractions in the frame work of complex valued metric besides discussing consequences of our main results. To illustrate our results and to distinguish them from the existing ones, we equip the paper with suitable examples.
Communications of the Korean Mathematical Society, 2017
Starting from a t-norm T , it is possible to construct a class of new t-norms, so-called T-genera... more Starting from a t-norm T , it is possible to construct a class of new t-norms, so-called T-generalized t-norm. The purpose of this paper is to describe some properties of this class of generalized t-norms. An algebraic structure as well as a binary relation among t-norms are also investigated. Some open problems are discussed as well.
In this paper the definition of fuzzy antinorm is modified. Some properties of finite dimensional... more In this paper the definition of fuzzy antinorm is modified. Some properties of finite dimensional fuzzy antinormed linear space are studied. Fuzzy
In this paper we define I -bitopological space (A, P,Q , −P,−Q) where P,Q and −P,−Q are I -topolo... more In this paper we define I -bitopological space (A, P,Q , −P,−Q) where P,Q and −P,−Q are I -topologies generated by the intuitionistic fuzzy quasi pseudo n -norms P, Q and −P, −Q. Further a charcterization of pairwise Hausdorff I -bitopological space is also established.
Acute prenecrotic damage to cardiomyocytes of lytic (myocytolysis, cytolysis) and contracture-lyt... more Acute prenecrotic damage to cardiomyocytes of lytic (myocytolysis, cytolysis) and contracture-lytic (primary lumpy degradation of myofibrils) types during ischemic and metabolic alteration of the myocardium are detected at the photooptic level by means of photochemical fluorochrome staining and examination under fluorescent light. Comparison of the fluorescent and polarization microscopic pictures showed that changes in cardiomyocytes are determined by local mass redistribution in the sarcomere compartments and transformations of birefraction of myofibrillar system components during necrobiosis. These changes are determined by lysis and coagulation processes in protein structures of sarcomeres.
ABSTRACT. The notion of a probabilistic metric space was introduced by Menger in 1942. The notion... more ABSTRACT. The notion of a probabilistic metric space was introduced by Menger in 1942. The notion of a probabilistic normed space was introduced in 1993. The aim of this paper is to give a necessary condition to get bounded linear operators in probabilistic normed space.
In this paper we redefined the definition of a bounded linear op- erator in probabilistic normed ... more In this paper we redefined the definition of a bounded linear op- erator in probabilistic normed space by introducing the notion of strongly - bounded linear maps. We then show that this new definition of boundedness implies all contraction functions in probabilistic normed space are bounded. Also, we introduce the classes of linear operators in probabilistic normed space, as the
Following the definition of intuitionistic fuzzy n-norm [ 3 ], we have introduced the definition ... more Following the definition of intuitionistic fuzzy n-norm [ 3 ], we have introduced the definition of intuitionistic fuzzy norm (in short IFN) over a linear space and there after a few results on intuitionistic fuzzy normed linear space and finite dimensional intuitionistic fuzzy normed linear space. Lastly, we have introduced the definitions of intuitionistic fuzzy continuity and sequentially intuitionistic fuzzy
International Journal of Open Problems in Computer Science and Mathematics, 2012
In this paper we establish the existence and uniqueness of related fixed points for mappings with... more In this paper we establish the existence and uniqueness of related fixed points for mappings with different contractive conditions in two complete fuzzy metric spaces.
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