Ulam–Hyers type stability for $$\psi $$-Hilfer fractional differential equations with impulses and delay

Author:

Lima K BORCID,Vanterler da C. Sousa J,de Oliveira E. Capelas

Funder

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference42 articles.

1. Abdo MS, Panchal SK, Wahash HA (2020) Ulam–Hyers–Mittag-Leffler stability for a $$\psi $$-Hilfer problem with fractional order and infinite delay. Results Appl Math 7(100):115

2. Almeida R (2017) A Caputo fractional derivative of a function with respect to another function. Commun Nonlinear Sci Numer Simulat 44:460–481

3. Antonov A, Nenov S, Tsvetkov T (2019) Impulsive controllability of tumor growth. Dyn Syst Appl 28(1):93–109

4. Bainov DD, Dishliev AB (1990) Population dynamics control in regard to minimizing the time necessary for the regeneration of a biomass taken away from the population. Esaim Math Model Numer Anal 24(6):681–691

5. Ballinger GH (1999) Qualitative theory of impulsive delay differential equations. PhD thesis, Univesity of Waterloo

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1. Study of a sequential $$\psi $$-Hilfer fractional integro-differential equations with nonlocal BCs;Journal of Pseudo-Differential Operators and Applications;2023-09-15

2. Time-fractional telegraph equation with ψ-Hilfer derivatives;Chaos, Solitons & Fractals;2022-09

3. Time-fractional diffusion equation with $$\psi $$-Hilfer derivative;Computational and Applied Mathematics;2022-07-05

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