The 𝑒-positive mild solutions for fractional impulsive evolution equations with 1 < 𝛼 < 2

Authors

  • Jorge Féres Junior Imecc - State University of Campinas
  • José Vanterler da Costa Sousa Center for Mathematics, Computing and Cognition - CMCC UFABC
  • Edmundo Capelas de Oliveira Imecc - State University of Campinas

Keywords:

Fractional Differential Equation, 𝑒-positive mild solutions, Kuratowski measure of noncompactness, Gronwall inequality, 𝛼-resolvent family.

Abstract

In this paper, we investigate the existence of global 𝑒-positive mild solutions for impulsive evolution fractional differential equation in the Caputo sense of order 1 < 𝛼 < 2. To obtain the result, we usually the theory of sectorial operators, theory of Kuratowski measure of noncompactness, Cauchy criterion and the Gronwall inequality.

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Published

2022-09-28

How to Cite

FÉRES JUNIOR, J.; SOUSA, J. V. da C.; OLIVEIRA, E. C. de. The 𝑒-positive mild solutions for fractional impulsive evolution equations with 1 < 𝛼 < 2. C.Q.D. - Revista Eletrônica Paulista de Matemática, Bauru, v. 22, n. 2, 2022. Disponível em: https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/327. Acesso em: 22 nov. 2024.

Issue

v.22, n.2 - Edição Brazilian Symposium on Fractional Calculus – Set/2022

Section

Artigos de Pesquisa

License

Copyright (c) 2022 C.Q.D. - Revista Eletrônica Paulista de Matemática

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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