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1. QUALITATIVE STUDY FOR IMPULSIVE PANTOGRAPH FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION VIA ψ-HILFER DERIVATIVE.

Author

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]

Published
2023
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