- Results in Nonlinear Analysis
- Vol: 5 Issue: 1
- Sequential fractional pantograph differential equations with nonlocal boundary conditions: Uniquenes...
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 : 9
Publication Date : 2022-03-31
Article Type : Research
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