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1. Existence and Hyers-Ulam stability results of nonlinear implicit Caputo-Katugampola fractional differential equations with p–Laplacian operator.

Author

Abbas, Mohamed I.

Subjects
*OPERATOR equations, *FRACTIONAL integrals, *LAPLACIAN operator, *GENERALIZED integrals, *FRACTIONAL differential equations
Abstract

The existence, uniqueness and the Hyers-Ulam stability of solutions for nonlinear p–Laplacian implicit Caputo-Katugampola fractional differential equations (FDEs) with multi-point generalized fractional integral boundary conditions are established. With the aid of the Leray-Schauder nonlinear alternative and the Banach contraction principle, the desired results are obtained. An example is set forth to make efficient the main results. [ABSTRACT FROM AUTHOR]

Published
2022
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