Sign in
On the Existence and Ulam-Hyers Stability of a New Class of Partial (phi, chi)-Fractional Differential Equations With Impulses
Journal article   Open access  Peer reviewed

On the Existence and Ulam-Hyers Stability of a New Class of Partial (phi, chi)-Fractional Differential Equations With Impulses

Arjumand Seemab, Mujeeb ur Rehman, Michal Feckan, Jehad Alzabut and Syed Abbas
Filomat, Vol.35(6), pp.1977-1991
01/01/2021

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider the newly defined partial (phi, chi)-fractional integral and derivative to study a new class of partial fractional differential equations with impulses. The existence and Ulam-Hyers stability of solutions for the proposed equation are investigated via the means of measure of noncompactness and fixed point theorems. The presented results are quite general in their nature and further complement the existing ones.
url
https://doi.org/10.2298/FIL2106977SView
Published (Version of record) Open

Metrics

1 Record Views

Details