Search Results - "Herzallah, Mohamed A. E."

On Fractional Order Hybrid Differential Equations by Herzallah, Mohamed A. E., Baleanu, Dumitru

“…We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order 0…”
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Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions by Herzallah, Mohamed A. E., Radwan, Ashraf H. A.

“…This paper is devoted to study the existence of at least one continuous mild solution to semilinear fractional differential inclusion with deviated-advanced…”
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Fractional-Order Variational Calculus with Generalized Boundary Conditions by Herzallah, MohamedAE, Baleanu, Dumitru

“…This paper presents the necessary and sufficient optimality conditions for fractional variational problems involving the right and the left fractional…”
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Fractional Euler–Lagrange equations revisited by Herzallah, Mohamed A. E., Baleanu, Dumitru

“…This paper presents the necessary and sufficient optimality conditions for the Euler–Lagrange fractional equations of fractional variational problems with…”
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Fractional-order Euler–Lagrange equations and formulation of Hamiltonian equations by Herzallah, Mohamed A. E., Baleanu, Dumitru

“…This paper presents the fractional order Euler–Lagrange equations and the transversality conditions for fractional variational problems with fractional…”
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Approximate solution to the time–space fractional cubic nonlinear Schrodinger equation by Herzallah, Mohamed A.E., Gepreel, Khaled A.

“…By introducing the fractional derivatives in the sense of Caputo, we use the adomian decomposition method to construct the approximate solutions for the cubic…”
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Hamilton–Jacobi and fractional like action with time scaling by Herzallah, Mohamed A. E., Muslih, Sami I., Baleanu, Dumitru, Rabei, Eqab M.

“…This paper represents the Hamilton–Jacobi formulation for fractional variational problem with fractional like action written as an integration over a time…”
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Perturbation for fractional-order evolution equation by Herzallah, Mohamed A. E., El-Sayed, Ahmed M. A., Baleanu, Dumitru

“…Fractional calculus has gained a lot of importance during the last decades, mainly because it has become a powerful tool in modeling several complex phenomena…”
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Continuation and maximal regularity of an arbitrary (fractional) order evolutionary integro-differential equation by El-Sayed, Ahmed M. A., Herzallah, Mohamed A. E.

“…The maximal regularity and continuation of the solution (and its fractional-order derivative) of the Cauchy problem of the non-homogeneous fractional order…”
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Comments on “Effect of fractional parameter on plane waves of generalized magneto-thermoelastic diffusion with reference temperature-dependent elastic medium” [Comput. Math. Appl. 65 (2013) 1104–1118] by Herzallah, Mohamed A.E.

“…In this note, we show that the results in the above paper are incorrect…”
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Mild and strong solutions to few types of fractional order nonlinear equations with periodic boundary conditions by Herzallah, Mohamed A. E.

“…In this paper, the two fractional periodic boundary value problems and will be studied where 0 C D t α is the ordinary Caputo fractional derivative and λ ∈ ℝ…”
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Existence and Uniqueness of the Mild Solution of an Abstract Semilinear Fractional Differential Equation with State Dependent Nonlocal Condition by HERZALLAH, MOHAMED A. E., RADWAN, ASHRAF H. A.

“…The purpose of this paper is to investigate the existence and uniqueness of mild solutions to a semilinear Cauchy problem for an abstract fractional…”
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Existence and uniqueness of solutions to nonlocal-impulsive fractional Cauchy semilinear conformable differential equations by Herzallah, Mohamed A. E., Radwan, Ashraf H. A.

“…This paper is devoted to study the existence and uniqueness of solutions to fractional semilinear differential equations with conformable fractional…”
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Existence of a periodic mild solution for a nonlinear fractional differential equation by Herzallah, Mohamed A.E., Baleanu, Dumitru

“…The aim of this manuscript is to analyze the existence of a periodic mild solution to the problem of the following nonlinear fractional differential equation…”
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Comments on “The effect of fractional parameter on a perfect conducting elastic half-space in generalized magneto-thermoelasticity” by N. Sarkar and A. Lahiri [Meccanica (2013) 48:231–245] by Herzallah, Mohamed A. E.

“…In this note, we show that the results in the above paper are incorrect…”
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Continuation and maximal regularity of fractional-order evolution equation by El-Sayed, Ahmed M.A, Herzallah, Mohamed A.E

“…The Cauchy problem of the homogeneous fractional-order evolution equation and evolutionary integral equation have been considered in [J. Fract. Calc. 7 (1995)…”
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