Implicit Caputo fractional q-difference equations with non instantaneous impulses

DOI10.7153/dea-2023-15-12OpenAlexW4386929235MaRDI QIDQ6122943

Saïd Abbas, Alberto Cabada, Mouffak Benchohra

Publication date: 4 March 2024

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2023-15-12

zbMATH Keywords

measure of noncompactnessfixed point theoremsfractional \(q\)-difference equationsCaputo fractional derivativenon instantaneous impulses

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20)

Cites Work

• Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses
• Existence results for nonlocal boundary value problems of nonlinear fractional \(q\)-difference equations
• Topics in fractional differential equations
• Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions
• Periodic BVP for integer/fractional order nonlinear differential equations with non-instantaneous impulses
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
• Measures of noncompactness in metric fixed point theory
• Topological transversality and boundary value problems on time scales.
• Existence of extremal mild solutions for the initial value problem of evolution equations with non-instantaneous impulses
• Variational approach to differential equations with not instantaneous impulses
• A class of nonlinear non-instantaneous impulsive differential equations involving parameters and fractional order
• Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses
• Impulsive Differential Inclusions
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Implicit Fractional Differential and Integral Equations
• Variational approach to non-instantaneous impulsive nonlinear differential equations
• On a new class of abstract impulsive differential equations
• Non-Instantaneous Impulses in Differential Equations
• Quantum calculus
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