Search results for: Mohammed S Abdo
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Mathematical Methods in the Applied Sciences > 44 > 11 > 9524 - 9540
The work reported here concerns the study of a generalized nonlinear fractional boundary value problem involving ϑ‐fractional derivative in the Riemann–Liouville sense. The existence and uniqueness of positive solutions to the problem at hand are proved. Our discussion relies on the properties of Green's function, the upper and lower solutions method, and the classical fixed point theorems in a cone...
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Mathematical Methods in the Applied Sciences > 44 > 8 > 6581 - 6600
In the given paper, we develop and extend a qualitative analysis of a novel nonlinear system of fractional pantograph evolution differential equations (FPEDEs) involving fractal‐fractional derivative in Atangana‐Baleanu sense. To discuss the proposed problem, we establish the essential conditions for the existence and uniqueness results. The used arguments for the analysis are the fixed point techniques...
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In this paper, we investigate the existence, uniqueness and Ulam-Hyers stability of solutions for nonlinear implicit fractional differential equations with boundary conditions involving a ψ-Caputo fractional derivative. The obtained results for the proposed problem are proved under a new approach and minimal assumptions on the function ƒ. The analysis is based upon the reduction of the problem considered...
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Proceedings - Mathematical Sciences > 2019 > 129 > 5 > 1-14
This paper is concerned with a boundary value problem for a nonlinear fractional differential equation involving a general form of Caputo fractional derivative operator with respect to new function $$\psi $$ ψ . The existence and uniqueness results of solutions are obtained. Our analysis relies on a variety of tools of fractional calculus together with fixed point theorems of Banach and Schaefer....
