Existence and stability results for impulsive implicit fractional differential equations with delay and Riesz-Caputo derivative

DOI10.1007/s00009-023-02356-8OpenAlexW4321614865MaRDI QIDQ2687597

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

Publication date: 7 March 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-023-02356-8

zbMATH Keywords

existenceimpulsesfixed pointmeasure of noncompactnessfinite delayUlam stabilityimplicit problemRiesz-Caputo fractional derivative

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topics in fractional differential equations
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• Analysis of a new class of impulsive implicit sequential fractional differential equations
• Implicit functions, nonlinear integral equations, and the measure of noncompactness of the superposition operator
• Hybrid systems: computation and control. 2nd international workshop, HSCC '99. Berg en Dal, the Netherlands, March 29--31, 1999. Proceedings
• Anti-periodic boundary value problems with Riesz-Caputo derivative
• Initial value problem for hybrid \(\psi\)-Hilfer fractional implicit differential equations
• Certain analysis of solution for the nonlinear two-point boundary value problem with Caputo fractional derivative
• Existence and Hyers-Ulam stability of solutions for a mixed fractional-order nonlinear delay difference equation with parameters
• Positive solutions of fractional differential equations with the Riesz space derivative
• Identification of switched linear systems using subspace and integer programming techniques
• Boundary value problem for nonlinear implicit generalized Hilfer-type fractional differential equations with impulses
• Impulsive Differential Inclusions
• Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
• New Trends in Nanotechnology and Fractional Calculus Applications
• On the Stability of the Linear Mapping in Banach Spaces
• Implicit Fractional Differential and Integral Equations
• Existence and Hyers-Ulam stability of solutions to a nonlinear implicit coupled system of fractional order
• Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales
• A study on \(k\)-generalized \(\psi\)-Hilfer derivative operator
• Global stability results for Volterra-Hadamard random partial fractional integral equations
• On implicit fractional q‐difference equations: Analysis and stability

This page was built for publication: Existence and stability results for impulsive implicit fractional differential equations with delay and Riesz-Caputo derivative