| Autor: |
Zahra Ahmadi, Rahmatollah Lashkaripour, Hamid Baghani, Shapour Heidarkhani, Giuseppe Caristi |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-20 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
1687-1847 |
| DOI: |
10.1186/s13662-020-02682-1 |
| Popis: |
Abstract In a recent paper (Filomat 32:4577–4586, 2018) the authors have investigated the existence and uniqueness of a solution for a nonlinear sequential fractional differential equation. To present an analytical improvement for Fazli–Nieto’s results with some conditions removed based on a new technique is the main objective of this paper. In addition, we introduce an infinite system of nonlinear sequential fractional differential equations and discuss the existence of a solution for them in the classical Banach sequence spaces c 0 $c_{0}$ and ℓ p $\ell_{p}$ by applying the Darbo fixed point theorem. Moreover, the proposed method is applied to several examples to show the clarity and effectiveness. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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