Qualitative analysis of nonlinear coupled pantograph differential equations of fractional order with integral boundary conditions

DOI10.1186/s13661-020-01432-2zbMath1496.34118OpenAlexW3048859851MaRDI QIDQ2126670

Israr Ahmad, Ghaus ur Rahman, Hussam Alrabaiah, Kamal Shah

Publication date: 19 April 2022

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

Full work available at URL: https://doi.org/10.1186/s13661-020-01432-2

zbMATH Keywords

coupled systemqualitative studycontractions mappingFDDEsUH stability theory

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Boundary value problems for functional-differential equations (34K10) Functional-differential equations with fractional derivatives (34K37) Perturbations of functional-differential equations (34K27)

Related Items (10)

Investigation of the neutral fractional differential inclusions of Katugampola-type involving both retarded and advanced arguments via Kuratowski MNC technique ⋮ Approximate solutions and Hyers-Ulam stability for a system of the coupled fractional thermostat control model via the generalized differential transform ⋮ On a new four-dimensional model of memristor-based chaotic circuit in the context of nonsingular Atangana-Baleanu-Caputo operators ⋮ Kuratowski MNC method on a generalized fractional Caputo Sturm-Liouville-Langevin \(q\)-difference problem with generalized Ulam-Hyers stability ⋮ A numerical method for fractional pantograph delay integro-differential equations on Haar wavelet ⋮ On a coupled Caputo conformable system of pantograph problems ⋮ Existence and uniqueness of solutions for fractional differential system with four-point coupled boundary conditions ⋮ Applications of fixed point theory to investigate a system of fractional order differential equations ⋮ A Novel Method for Nonlinear Boundary Value Problems Based on Multiscale Orthogonal Base ⋮ On two abstract Caputo multi-term sequential fractional boundary value problems under the integral conditions

Cites Work

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• Theory of fractional hybrid differential equations
• Modelling of frequency- and amplitude-dependent material properties of filler-reinforced rubber
• Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line
• Twin iterative positive solutions of fractional \(q\)-difference Schrödinger equations
• Orthoexponential polynomial solutions of delay pantograph differential equations with residual error estimation
• Hyers-Ulam stability of linear differential equations of first order.
• Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials
• Radial symmetry of solution for fractional \(p\)- Laplacian system
• Long time numerical behaviors of fractional pantograph equations
• Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari's type
• Study of implicit delay fractional differential equations under anti-periodic boundary conditions
• Standing waves of nonlinear fractional \(p\)-Laplacian Schrödinger equation involving logarithmic nonlinearity
• Stability analysis of nonlinear Hadamard fractional differential system
• Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative
• Second-order boundary value problems with integral boundary conditions
• Ulam stability and data dependence for fractional differential equations with Caputo derivative
• QUALITATIVE STUDY OF NONLINEAR COUPLED PANTOGRAPH DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
• Pseudo almost periodicity of fractional integro-differential equations with\newline impulsive effects in Banach spaces

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