DOAJ Open Access 2022

Neutral functional sequential differential equations with Caputo fractional derivative on time scales

Jamal Eddine Lazreg Nadia Benkhettou Mouffak Benchohra Erdal Karapinar

Abstrak

Abstract In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, the nonlinear alternative of Leray–Schauder type and Krasnoselskii fixed point theorem. As applications, two examples are included to show the applicability of our results.

Topik & Kata Kunci

Applied mathematics. Quantitative methods Analysis

Penulis (4)

Jamal Eddine Lazreg

Nadia Benkhettou

Mouffak Benchohra

Erdal Karapinar

Format Sitasi

APA MLA BibTeX

Lazreg, J.E., Benkhettou, N., Benchohra, M., Karapinar, E. (2022). Neutral functional sequential differential equations with Caputo fractional derivative on time scales. https://doi.org/10.1186/s13663-022-00716-9

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.1186/s13663-022-00716-9
Akses: Open Access ✓