Applying quantum calculus for the existence of solution of \(q\)-integro-differential equations with three criteria

DOI10.3934/dcdss.2020440zbMath1469.34103OpenAlexW3107711353WikidataQ115219129 ScholiaQ115219129MaRDI QIDQ2230323

Mohammad Esmael Samei, Thabet Abdeljawad

Publication date: 17 September 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020440

zbMATH Keywords

singularitythree steps crisis phenomena\(q\)-integro-differentialCaputo \(q\)-derivationpointwise defined singular equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fixed-point theorems (47H10) Difference equations, scaling ((q)-differences) (39A13) Functional-differential equations with fractional derivatives (34K37)

Related Items (11)

Explicit iteration and unbounded solutions for fractional \(q\)-difference equations with boundary conditions on an infinite interval ⋮ Time accurate solution to Benjamin-Bona-Mahony-Burgers equation via Taylor-Boubaker series scheme ⋮ Some inequalities on multi-functions for applying in the fractional Caputo-Hadamard jerk inclusion system ⋮ Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph \(q\)-differential equations ⋮ Existence and Mittag-Leffler-Ulam-stability results for Duffing type problem involving sequential fractional derivatives ⋮ On solutions of a hybrid generalized Caputo-type problem via the noncompactness measure in the generalized version of Darbo's criterion ⋮ Existence of Urysohn and Atangana-Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators ⋮ Existence and stability analysis for a class of fractional pantograph \(q\)-difference equations with nonlocal boundary conditions ⋮ A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations ⋮ Existence and stability of solutions for linear and nonlinear damping of \(q\)-fractional Duffing-Rayleigh problem ⋮ Existence of positive solutions for \(p\)-Laplacian boundary value problems of fractional differential equations

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