Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative

By Mouffak Benchohra, J. Lazreg. 2017

89 citations recorded by the source corpus.

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 Hadamard fractional-order differential equation.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/ebbc327ed874c3a9a0f22d1db539c5f95dd851c6

How researchers see this paper

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In Applied Mathematics

1. J. Sousa
2. E. Capelas de Oliveira
3. Thabet Abdeljawad
4. Ashwini D. Mali
5. Kishor D. Kucche
6. Fahd Jarad
7. Mohammed S Abdo

In Modeling and Simulation

1. J. Sousa
2. E. Capelas de Oliveira
3. Thabet Abdeljawad
4. Ashwini D. Mali
5. Kishor D. Kucche
6. Fahd Jarad

Citations in the corpus

• On the Ulam–Hyers–Rassias stability for nonlinear fractional differential equations using the $$\psi $$ψ-Hilfer operator (2017, methodology): “2, we obtain the stability of Ulam–Hyers and Ulam–Hyers–Rassias for the Cauchy problem with Hadamard fractional derivative [39].”