In this paper we presented The existence and stability of inclusion equations type of stochastic ... more In this paper we presented The existence and stability of inclusion equations type of stochastic dynamical system driven by mixed fractional Brownian motion in a real separable Hilbert space with an illustrative example.
In this paper, the approximate controllability of nonlinear Fractional Sobolev type with order Ca... more In this paper, the approximate controllability of nonlinear Fractional Sobolev type with order Caputo stochastic differential equations driven by mixed fractional Brownian motion in a real separable Hilbert spaces has been studied by using contraction mapping principle, fixed point theorem, stochastic analysis theory, fractional calculus and some sufficient conditions.
In this paper we presented the existence and stability for classes of Mixed stochastic integro-di... more In this paper we presented the existence and stability for classes of Mixed stochastic integro-differential inclusion problem via cosine dynamical semi group with illustrative example.
The article describes a new concept for initial and exactly observability of nonlocal fractional-... more The article describes a new concept for initial and exactly observability of nonlocal fractional-order impulsive control integro-differential system. This is based on the concepts of the abstract Cauchy problem, which depended on some necessary and sufficient conditions. These conditions established on the semigroup theory of bounded operators as a dynamical operator system, which generated by bounded linear operators. Moreover, invertible operators play a primary role, and we presented a necessary condition for some nonlinear multi variables functions. Thus, all these operators were treated in nonlinear functional analysis to guaranty the initial observable and exactly observability. Therefore, from the mild solution of the system and exactly homogenous part, we proved the equivalent concepts between the initial observability and exactly the observability. Thus, our approach in this article is to prove the uniqueness of initial nonlocal values with admissible control, which belongs...
خلال البحث تم المناقشة وبالتفصيل قابلية الحل لبعض الأنظمة من المعادلات المتعددة التفاضلية التكامل... more خلال البحث تم المناقشة وبالتفصيل قابلية الحل لبعض الأنظمة من المعادلات المتعددة التفاضلية التكاملية ذات الرتب الكسرية باستخدام مفهوم مسائل كوشي المختصرة وايضا نظرية شبه زمرة المختارة مع بعض الشروط الضرورية والكافية.
In this paper, we shall consider the existence and stability of stochastic fractional order diffe... more In this paper, we shall consider the existence and stability of stochastic fractional order differential inclusion nonlinear equations in infinite dimensional space by mixed fractional Brownian motion in Hilbert space H.
In this paper we presented The existence and stability of inclusion equations type of stochastic ... more In this paper we presented The existence and stability of inclusion equations type of stochastic dynamical system driven by mixed fractional Brownian motion in a real separable Hilbert space with an illustrative example.
The aim of this paper is to investigate the theoretical approach for solvability of impulsive abs... more The aim of this paper is to investigate the theoretical approach for solvability of impulsive abstract Cauchy problem for impulsive nonlinear fractional order partial differential equations with nonlocal conditions, where the nonlinear extensible beam equation is a particular application case of this problem.
IOP Conference Series: Materials Science and Engineering, 2019
In this paper. The generalized of extensible beam equation such that this equation is a special c... more In this paper. The generalized of extensible beam equation such that this equation is a special case where is ordinary positive integer number and the nonlinear function is more general of the nonlinear function of beam equation and since the solvability of this equation is difficult some time. So, we turned to fractional order differential equation to use the nonlinear factional analyses to check the solvability exist.
International Journal of Advanced Mathematical Sciences, 2016
In this article, we propose an efficient algorithm for solving system of time- fractional differe... more In this article, we propose an efficient algorithm for solving system of time- fractional differential-algebraic equations by using a fractional Laplace iteration method. The scheme is tested for some examples and the results demonstrate reliability and accuracy of this method.
International Journal of Applied Mathematical Research, 2016
This work provided the evolution of the algorithm for analytic solution of system of fractional d... more This work provided the evolution of the algorithm for analytic solution of system of fractional differential-algebraic equations (FDAEs).The algorithm referred to good effective method for combination the Laplace Iteration method with general Lagrange multiplier (LLIM). Through this method we have reached excellent results in comparison with exact solution as we illustrated in our examples.
In this paper the idea is to use a coordinate transformation that takes a system of ordinary diff... more In this paper the idea is to use a coordinate transformation that takes a system of ordinary differential equations with no obvious solution to system of integrables. The techniques that which introduced presented the cases of symmetry transformations also the particular case that involving an integrating factory homogeneous coordinates all these transformations are interest in lie groups theory.
In this paper we presented The existence and stability of inclusion equations type of stochastic ... more In this paper we presented The existence and stability of inclusion equations type of stochastic dynamical system driven by mixed fractional Brownian motion in a real separable Hilbert space with an illustrative example.
In this paper, the approximate controllability of nonlinear Fractional Sobolev type with order Ca... more In this paper, the approximate controllability of nonlinear Fractional Sobolev type with order Caputo stochastic differential equations driven by mixed fractional Brownian motion in a real separable Hilbert spaces has been studied by using contraction mapping principle, fixed point theorem, stochastic analysis theory, fractional calculus and some sufficient conditions.
In this paper we presented the existence and stability for classes of Mixed stochastic integro-di... more In this paper we presented the existence and stability for classes of Mixed stochastic integro-differential inclusion problem via cosine dynamical semi group with illustrative example.
The article describes a new concept for initial and exactly observability of nonlocal fractional-... more The article describes a new concept for initial and exactly observability of nonlocal fractional-order impulsive control integro-differential system. This is based on the concepts of the abstract Cauchy problem, which depended on some necessary and sufficient conditions. These conditions established on the semigroup theory of bounded operators as a dynamical operator system, which generated by bounded linear operators. Moreover, invertible operators play a primary role, and we presented a necessary condition for some nonlinear multi variables functions. Thus, all these operators were treated in nonlinear functional analysis to guaranty the initial observable and exactly observability. Therefore, from the mild solution of the system and exactly homogenous part, we proved the equivalent concepts between the initial observability and exactly the observability. Thus, our approach in this article is to prove the uniqueness of initial nonlocal values with admissible control, which belongs...
خلال البحث تم المناقشة وبالتفصيل قابلية الحل لبعض الأنظمة من المعادلات المتعددة التفاضلية التكامل... more خلال البحث تم المناقشة وبالتفصيل قابلية الحل لبعض الأنظمة من المعادلات المتعددة التفاضلية التكاملية ذات الرتب الكسرية باستخدام مفهوم مسائل كوشي المختصرة وايضا نظرية شبه زمرة المختارة مع بعض الشروط الضرورية والكافية.
In this paper, we shall consider the existence and stability of stochastic fractional order diffe... more In this paper, we shall consider the existence and stability of stochastic fractional order differential inclusion nonlinear equations in infinite dimensional space by mixed fractional Brownian motion in Hilbert space H.
In this paper we presented The existence and stability of inclusion equations type of stochastic ... more In this paper we presented The existence and stability of inclusion equations type of stochastic dynamical system driven by mixed fractional Brownian motion in a real separable Hilbert space with an illustrative example.
The aim of this paper is to investigate the theoretical approach for solvability of impulsive abs... more The aim of this paper is to investigate the theoretical approach for solvability of impulsive abstract Cauchy problem for impulsive nonlinear fractional order partial differential equations with nonlocal conditions, where the nonlinear extensible beam equation is a particular application case of this problem.
IOP Conference Series: Materials Science and Engineering, 2019
In this paper. The generalized of extensible beam equation such that this equation is a special c... more In this paper. The generalized of extensible beam equation such that this equation is a special case where is ordinary positive integer number and the nonlinear function is more general of the nonlinear function of beam equation and since the solvability of this equation is difficult some time. So, we turned to fractional order differential equation to use the nonlinear factional analyses to check the solvability exist.
International Journal of Advanced Mathematical Sciences, 2016
In this article, we propose an efficient algorithm for solving system of time- fractional differe... more In this article, we propose an efficient algorithm for solving system of time- fractional differential-algebraic equations by using a fractional Laplace iteration method. The scheme is tested for some examples and the results demonstrate reliability and accuracy of this method.
International Journal of Applied Mathematical Research, 2016
This work provided the evolution of the algorithm for analytic solution of system of fractional d... more This work provided the evolution of the algorithm for analytic solution of system of fractional differential-algebraic equations (FDAEs).The algorithm referred to good effective method for combination the Laplace Iteration method with general Lagrange multiplier (LLIM). Through this method we have reached excellent results in comparison with exact solution as we illustrated in our examples.
In this paper the idea is to use a coordinate transformation that takes a system of ordinary diff... more In this paper the idea is to use a coordinate transformation that takes a system of ordinary differential equations with no obvious solution to system of integrables. The techniques that which introduced presented the cases of symmetry transformations also the particular case that involving an integrating factory homogeneous coordinates all these transformations are interest in lie groups theory.
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