Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional \(q\)-derivatives

DOI10.1515/dema-2022-0205OpenAlexW4352999418MaRDI QIDQ2697198

Mohamed Houas, Mohamed Abbas, Jehad O. Alzabut

Publication date: 18 April 2023

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2022-0205

zbMATH Keywords

boundary conditionsfixed pointexistence and uniqueness of solutionsfractional \(q\)-calculusUlam-Hyers-stability

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Cites Work

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• New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
• \(q\)-fractional calculus and equations
• Certain Hermite-Hadamard type inequalities via generalized \(k\)-fractional integrals
• Sequential fractional differential equations with Hadamard derivative
• Basic results on hybrid differential equations
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Fractional \(q\)-difference hybrid equations and inclusions with Dirichlet boundary conditions
• Some new Saigo type fractional integral inequalities and their \(q\)-analogues
• Stability of \(q\)-fractional non-autonomous systems
• Computational study on the dynamics of fractional order differential equations with applications
• Existence theory to a class of boundary value problems of hybrid fractional sequential integro-differential equations
• Two sequential fractional hybrid differential inclusions
• On a system of fractional coupled hybrid Hadamard differential equations with terminal conditions
• Analysis of fractional multi-dimensional Navier-Stokes equation
• New approach to solutions of a class of singular fractional \(q\)-differential problem via quantum calculus
• Nonlocal coupled hybrid fractional system of mixed fractional derivatives via an extension of Darbo's theorem
• Analytic solution for oxygen diffusion from capillary to tissues involving external force effects: a fractional calculus approach
• Existence results for a general class of sequential hybrid fractional differential equations
• On a nonlinear sequential four-point fractional \(q\)-difference equation involving \(q\)-integral operators in boundary conditions along with stability criteria
• On a fixed point theorem in Banach algebras with applications
• FRACTIONAL CALCULUS OPERATORS AND THEIR IMAGE FORMULAS
• Quantum symmetries of q-difference equations
• Basic results in the theory of hybrid differential equations with linear perturbations os second type
• Some inequalities involving Hadamard‐type k‐fractional integral operators

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