Existence and stability of a \(q\)-Caputo fractional jerk differential equation having anti-periodic boundary conditions

DOI10.1186/s13661-024-01834-6zbMATH Open1547.34016MaRDI QIDQ6571645

Ioan-Lucian Popa, Khansa Hina Khalid, M. E. Samei, Akbar Zada

Publication date: 12 July 2024

Published in: Boundary Value Problems (Search for Journal in Brave)

zbMATH Keywords

fixed point theoremCaputo derivativeUlam-Hyers stability\(q\)-fractional differential equationfractional jerk equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Perturbations of ordinary differential equations (34D10) Fractional ordinary differential equations (34A08)

Cites Work

• Title not available (Why is that?)
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• \(q\)-fractional calculus and equations
• \(\psi\)-Hilfer pseudo-fractional operator: new results about fractional calculus
• The general theory of a class of linear partial \(q\)-difference equations.
• \(q\)-difference equations.
• Stability of \(\psi\)-Hilfer impulsive fractional differential equations
• On multi-step methods for singular fractional \(q\)-integro-differential equations
• Uniqueness and Ulam-Hyers-Rassias stability results for sequential fractional pantograph \(q\)-differential equations
• Some analytical and numerical results for a fractional \(q\)-differential inclusion problem with double integral boundary conditions
• Well-posed conditions on a class of fractional \(q\)-differential equations by using the Schauder fixed point theorem
• On the \(\psi\)-Hilfer fractional derivative
• Existence of mild solutions to Hilfer fractional evolution equations in Banach space
• Applying quantum calculus for the existence of solution of \(q\)-integro-differential equations with three criteria
• Fractional order pseudoparabolic partial differential equation: Ulam-Hyers stability
• Existence and stability of solutions for linear and nonlinear damping of \(q\)-fractional Duffing-Rayleigh problem
• Inequalities on time scales: a survey
• Nontrivial solutions for fractional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-difference boundary value problems
• Determination of Nonchaotic Behavior for Some Classes of Polynomial Jerk Equations
• Existence of solutions for k‐dimensional system of multi‐term fractional q‐integro‐differential equations under anti‐periodic boundary conditions via quantum calculus
• Stability analysis of a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem
• Quantum calculus
• Study of a sequential \(\psi \)-Hilfer fractional integro-differential equations with nonlocal BCs
• Existence and stability analysis for a class of fractional pantograph \(q\)-difference equations with nonlocal boundary conditions
• Solvability of a generalized \(\psi\)-Riemann-Liouville fractional BVP under nonlocal boundary conditions

Related Items (4)

Stability analysis, existence and uniqueness of solutions for a fractional conformable \(p\)-Laplacian coupled boundary value problem on the disilane graph ⋮ Study of three-point impulsive boundary value problems governed by \(\Psi\)-Caputo fractional derivative ⋮ On the existence of solutions for nonlocal sequential boundary fractional differential equations via \(\varPsi\)-Riemann-Liouville derivative ⋮ Upper and lower solutions for an integral boundary problem with two different orders \((p, q)\)-fractional difference

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