Existence and Stability Results for Impulsive Implicit Fractional Differential Equations with Delay and Riesz–Caputo Derivative

Rahou, Wafaa; Salim, Abdelkrim; Lazreg, Jamal Eddine; Benchohra, Mouffak

doi:10.1007/s00009-023-02356-8

Cited by 5 publications

(1 citation statement)

References 27 publications

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“…It was facilitated through the utilization of various fixed-point theorems. In the work presented in [31], the authors successfully demonstrated the existence, uniqueness, and stability of solutions for a specific class of implicit functional FDEs characterized by finite delays and instantaneous impulses. The proof for these results was established by employing the Banach contraction mapping principle in conjunction with Schaefer's and Darbo's fixed point theorems.…”

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confidence: 99%

Analysis of a class of fractional delay integro-differential equations with Riesz-Caputo derivative

Tiwari,

Pandey

2024

DCDS-S

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This paper investigates the existence and uniqueness of solutions for a particular category of fractional delay integro-differential (FDID) equations in the context of Banach space, incorporating the Riesz-Caputo fractional derivative. Employing fractional calculus techniques and multiple fixed-point theorems, we establish a few results regarding both existence and uniqueness. Further, by introducing a partial order in a Banach space of all continuous functions, we look into the existence of extremal solutions. To demonstrate the competence of the suggested outcomes, a few instances are presented at the conclusion.

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confidence: 99%