Impulsive Implicit Caputo Fractional q-Difference Equations in Finite- and Infinite-Dimensional Banach Spaces
DOI10.1007/978-3-030-77704-3_9zbMath1481.39006OpenAlexW3208631192MaRDI QIDQ5024565
Badr Alqahtani, Saïd Abbas, Gaston Mandata N'Guérékata, Mouffak Benchohra
Publication date: 26 January 2022
Published in: STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-77704-3_9
fixed pointsolutionmeasure of noncompactnessBanach spaceimpulseCaputo fractional derivativefractional \(q\)-difference equation
Ordinary differential equations with impulses (34A37) Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13)
Cites Work
- Existence results for nonlocal boundary value problems of nonlinear fractional \(q\)-difference equations
- Topics in fractional differential equations
- An existence theorem for implicit differential equations in a Banach space
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- Measures of noncompactness in metric fixed point theory
- Topological transversality and boundary value problems on time scales.
- Impulsive Differential Inclusions
- Positive solutions of $q$-difference equation
- Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
- Implicit Fractional Differential and Integral Equations
- On a new class of abstract impulsive differential equations
- On fractional order derivatives and Darboux problem for implicit differential equations
- Basic Theory of Fractional Differential Equations
- Quantum calculus
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