Existence, uniqueness and stability results for fractional nonlinear Volterra-Fredholm integro-differential equations
Citation
Hamoud, A. A. & Osman, M. (2023). Existence, uniqueness and stability results for fractional nonlinear Volterra-Fredholm integro-differential equations. TWMS Journal Of Applied And Engineering Mathematics, 13(2), 491-506.Abstract
In this paper, we establish some new conditions for the existence and uniqueness of solutions for a class of nonlinear Caputo fractional Volterra-Fredholm integrodifferential equations with integral boundary conditions. The desired results are proved by using Banach and Krasnoselskii’s fixed point theorems. In addition, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for solutions of the given problem are also discussed. An example is presented to guarantee the validity of our results.
Source
TWMS Journal Of Applied And Engineering MathematicsVolume
13Issue
4URI
https://hdl.handle.net/11729/5477http://jaem.isikun.edu.tr/web/index.php/archive/119-vol13no2/984
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