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Stability Results for Implicit Fractional Pantograph Differential Equations via ϕ-Hilfer Fractional Derivative with a Nonlocal Riemann-Liouville Fractional Integral Condition

2020; Multidisciplinary Digital Publishing Institute; Volume: 8; Issue: 1 Linguagem: Inglês

10.3390/math8010094

ISSN

2227-7390

Autores

Idris Ahmed, Poom Kumam, Kamal Shah, Piyachat Borisut, Kanokwan Sitthithakerngkiet, Musa Ahmed Demba,

Tópico(s)

Differential Equations and Boundary Problems

Resumo

This paper presents a class of implicit pantograph fractional differential equation with more general Riemann-Liouville fractional integral condition. A certain class of generalized fractional derivative is used to set the problem. The existence and uniqueness of the problem is obtained using Schaefer’s and Banach fixed point theorems. In addition, the Ulam-Hyers and generalized Ulam-Hyers stability of the problem are established. Finally, some examples are given to illustrative the results.

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