Ulam stability for nonlinear implicit differential equations with Hilfer-Katugampola fractional derivative and impulses

Soufyane Bouriah; Mouffak Benchohra; Juan J. Nieto; Yong Zhou

doi:10.3934/math.2022712

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Ulam stability for nonlinear implicit differential equations with Hilfer-Katugampola fractional derivative and impulses

Soufyane Bouriah Mouffak Benchohra Juan J. Nieto Yong Zhou

Year: 2022 Journal: AIMS Mathematics Vol: 7 (7)Pages: 12859-12884 Publisher: American Institute of Mathematical Sciences

DOI: 10.3934/math.2022712

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Abstract

<abstract><p>In this paper, we investigate the existence, uniqueness and stability results for a class of nonlinear impulsive Hilfer-Katugampola problems. Our reasoning is founded on the Banach contraction principle and Krasnoselskii's fixed point theorem. In addition, an example is provided to demonstrate the effectiveness of the main results.</p></abstract>

Keywords:

Uniqueness Mathematics Fixed-point theorem Nonlinear system Contraction principle Contraction (grammar) Stability (learning theory) Class (philosophy) Fractional calculus Applied mathematics Banach space Mathematical analysis Pure mathematics Computer science Physics

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Nonlinear Differential Equations Analysis

Physical Sciences → Mathematics → Applied Mathematics

Fractional Differential Equations Solutions

Physical Sciences → Mathematics → Modeling and Simulation

Differential Equations and Boundary Problems

Physical Sciences → Mathematics → Applied Mathematics

Ulam stability for nonlinear implicit differential equations with Hilfer-Katugampola fractional derivative and impulses

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