On the existence and stability for noninstantaneous impulsive fractional integrodifferential equation
Corresponding Author
José Vanterler da Costa Sousa
Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing - Imecc, Campinas/SP, 13083-859, Brazil
Correspondence
José Vanterler da Costa Sousa, Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing - Imecc, Campinas/SP, 13083-859 Brazil.
Email: [email protected]
Communicated by: M. Kirane
Search for more papers by this authorDaniela dos Santos Oliveira
Coordination of Civil Engineering, Federal University of Paraná, 85053-525, Guarapuava/PR, Brazil
Search for more papers by this authorEdmundo Capelas de Oliveira
Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing - Imecc, Campinas/SP, 13083-859, Brazil
Search for more papers by this authorCorresponding Author
José Vanterler da Costa Sousa
Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing - Imecc, Campinas/SP, 13083-859, Brazil
Correspondence
José Vanterler da Costa Sousa, Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing - Imecc, Campinas/SP, 13083-859 Brazil.
Email: [email protected]
Communicated by: M. Kirane
Search for more papers by this authorDaniela dos Santos Oliveira
Coordination of Civil Engineering, Federal University of Paraná, 85053-525, Guarapuava/PR, Brazil
Search for more papers by this authorEdmundo Capelas de Oliveira
Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing - Imecc, Campinas/SP, 13083-859, Brazil
Search for more papers by this authorAbstract
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.
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