EXISTENCE AND STABILITY RESULTS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO CAPUTO FRACTIONAL DERIVATIVES

Mohamed Houas, Mohamed Bezziou

DOI Number
https://doi.org/10.22190/FUMI1902341H
First page
341
Last page
357

Abstract


In this paper, we discuss the existence, uniqueness and stability of solutions for a nonlocal boundary value problem of nonlinear fractional differential equations with two Caputo fractional derivatives. By applying the contraction mapping and O’Regan fixed point theorem, the existence results are obtained. We also derive the Ulam-Hyers stability of solutions. Finally, some examples are given to illustrate our results.

Keywords

Caputo derivative, Fixed point, Existence, Uniqueness, Boundary value problem.

Keywords


Caputo derivative, Fixed point, Existence, Uniqueness, Ulam stability.

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References


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DOI: https://doi.org/10.22190/FUMI1902341H

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