Dynamics and stability of ψ-fractional pantograph equations with boundary conditions

Kamal Shah; D. Vivek; K. Kanagarajan

doi:10.5269/bspm.41154

Kamal Shah University of Malakand https://orcid.org/0000-0002-8851-4844
D. Vivek Sri Ramakrishna Mission Vidyalaya College of Arts and Science
K. Kanagarajan Sri Ramakrishna Mission Vidyalaya College of Arts and Science

Resumen

This manuscript is devoted to obtain some adequate conditions for existence of at least one solution to fractional pantograph equation (FPE) involving the ψ -fractional derivative. The proposed problem is studied under some boundary conditions. Since stability is an important aspect of the qualitative theory. Therefore, we also discuss the Ulam-Hyers and Ulam-Hyers-Rassias type stabilites for the considered problem. Our results are based on some standard fixed point theorems. For the demonstration of our results, we provide an example.

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Biografía del autor/a

D. Vivek, Sri Ramakrishna Mission Vidyalaya College of Arts and Science

Department of Mathematics

K. Kanagarajan, Sri Ramakrishna Mission Vidyalaya College of Arts and Science

Department of Mathematics

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