On the initial value problems for the Caputo–Fabrizio impulsive fractional differential equations

DOI10.1142/S179355712150073XzbMath1465.34003OpenAlexW3035304464MaRDI QIDQ5001507

Mohamed I. Abbas

Publication date: 22 July 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179355712150073x

zbMATH Keywords

impulsive differential equationsSchaefer's fixed point theoremCaputo-Fabrizio fractional differential equations

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional ordinary differential equations (34A08)

Related Items (5)

Anti-periodic boundary value problems for Caputo-Fabrizio fractional impulsive differential equations ⋮ Existence of mild solutions for perturbed fractional neutral differential equations through deformable derivatives in Banach spaces ⋮ Unnamed Item ⋮ Exponential Euler scheme of multi-delay Caputo-Fabrizio fractional-order differential equations ⋮ Existence and H-U stability of solution for coupled system of fractional-order with integral conditions involving Caputo-Hadamard derivatives, Hadamard integrals

Cites Work

• Ulam stability of fractional impulsive differential equations with Riemann-Liouville integral boundary conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence and uniqueness results for fractional differential equations with Riemann-Liouville fractional integral boundary conditions
• On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations
• A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel
• A fractional quadratic autocatalysis associated with chemical clock reactions involving linear inhibition
• On the Hadamard and Riemann-Liouville fractional neutral functional integrodifferential equations with finite delay
• Exact traveling wave solutions for resonance nonlinear Schrödinger equation with intermodal dispersions and the Kerr law nonlinearity
• Nonlinear impulsive integro-differential equations of mixed type and optimal controls
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