Sequential fractional pantograph differential equations with nonlocal boundary conditions: Uniqueness and Ulam-Hyers-Rassias stability

Authors : Houas MOHAMED

Pages : 29-41

Doi:10.53006/rna.928654

View : 15 | Download : 10

Publication Date : 2022-03-31

Article Type : Research Paper

Abstract :In the current manuscript, we study the uniqueness and Ulam-stability of solutions for sequential fractional pantograph differential equations with nonlocal boundary conditions. The uniqueness of solutions is es- tablished by Banach\`s fixed point theorem. We also define and study the Ulam-Hyers stability and the Ulam-Hyers-Rassias stability of mentioned problem. An example is presented to illustrate the main results.
Keywords : Caputo derivative, fixed point, existence, pantograph equations, Ulam stability