BEDDANI, MOUSTAFA, BEDDANI, HAMID, and FEČKAN, MICHAL
Subjects
*MATHEMATICS, *FIXED point theory, *NONLINEAR operators, *INTEGRO-differential equations, *DERIVATIVES (Mathematics)
Abstract
In this paper, we study the existence and stability of solutions for impulsive pantograph fractional integro-differential equation via ψ-Hilfer fractional derivative in a appropriate Banach space. Our approach is based on fixed point theorems of Darbo’s and Mönch via Kuratowski measure of non-compactness. An example is given to illustrate our approach. [ABSTRACT FROM AUTHOR]