Sequential fractional order Neutral functional Integro differential equations on time scales with Caputo fractional operator over Banach spaces

Ahmed Morsy, Kottakkaran Sooppy Nisar, Chokkalingam Ravichandran, Chandran Anusha

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

In this work, we scrutinize the existence and uniqueness of the solution to the Integro differential equations for the Caputo fractional derivative on the time scale. We derive the solution of the neutral fractional differential equations along the finite delay conditions. The fixed point theory is demonstrated, and the solution depends upon the fixed point theorems: Banach contraction principle, nonlinear alternative for Leray-Schauder type, and Krasnoselskii fixed point theorem.

Original languageEnglish
Pages (from-to)5934-5949
Number of pages16
JournalAIMS Mathematics
Volume8
Issue number3
DOIs
StatePublished - 2023

Keywords

  • Caputo fractional derivative
  • delay differential equations
  • fixed point
  • Neutral differential equations
  • Semigroup theory
  • time scales

Fingerprint

Dive into the research topics of 'Sequential fractional order Neutral functional Integro differential equations on time scales with Caputo fractional operator over Banach spaces'. Together they form a unique fingerprint.

Cite this