On the existence and stability for noninstantaneous impulsive fractional integrodifferential equation
By J. Sousa, D. S. Oliveira, E. Capelas de Oliveira. Mathematical methods in the applied sciences, 2018
46 citations recorded by the source corpus.
In this paper, by means of Banach fixed point theorem, we investigate the existence and Ulam–Hyers–Rassias stability of the noninstantaneous impulsive integrodifferential equation by means of ψ‐Hilfer fractional derivative. In this sense, some examples are presented, in order to consolidate the results obtained.
Subfields: Applied Mathematics, Modeling and Simulation, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/834b7b2fd12ea76c71ef846293d97edd06395f59
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In Applied Mathematics
- J. Sousa
- E. Capelas de Oliveira
- Ashwini D. Mali
- Kishor D. Kucche
- Thabet Abdeljawad
- Fahd Jarad
- Mohammed S Abdo
In Modeling and Simulation
Citations in the corpus
- A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator (2017, background): “In this sense, due to this exponential growth of the fractional calculus added to differential equations, the number of researchers involved in the investigation of existence, uniqueness, Ulam-Hyers stabilities of solutions of fractional differential equations of the type: impulsive, functional and ”
- Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations (2020, background): “The basic study about existence and uniqueness of the solution of a nonlinear φ-Hilfer FDEs with different kinds of initial conditions and the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of its solutions have been explored in [22, 23, 24, 25, 26, 27, 28, 29] .”