2015•DOAJ (DOAJ: Directory of Open Access Journals)Open access

On stability for nonlinear implicit fractional differential equations

Mouffak Benchohra, Jamal Eddine Lazreg

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Abstract

The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order differential equation.

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What this paper is about

The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order differential equation.

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OpenAlex reports 45 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order differential equation.

Key concepts: Stability (learning theory), Mathematics, Nonlinear system, Class (philosophy), Differential equation, Applied mathematics, Differential (mechanical device), Mathematical analysis

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