Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions

DOI10.2478/aupcsm-2018-0009zbMath1427.34020OpenAlexW2916293192WikidataQ128382355 ScholiaQ128382355MaRDI QIDQ2328078

Tongxing Li, Akbar Zada, Mohammad Yar

Publication date: 9 October 2019

Published in: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/aupcsm-2018-0009

zbMATH Keywords

existenceuniquenessHyers-Ulam stabilitycoupled systemfixed point theoremRiemann-Liouville fractional integralCaputo fractional derivative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Perturbations of ordinary differential equations (34D10) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

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EXISTENCE AND STABILITY ANALYSIS OF SEQUENTIAL COUPLED SYSTEM OF HADAMARD-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS, Ulam stability of linear differential equations using Fourier transform, Ulam-Hyers stability of impulsive integrodifferential equations with Riemann-Liouville boundary conditions, Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives, Stability analysis of implicit fractional differential equation with anti-periodic integral boundary value problem, Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions, Coupled system of three sequential Caputo fractional differential equations: Existence and stability analysis, Hyers-Ulam stability of n ͭ ͪ order linear differential equation, Stability of integral Caputo-type boundary value problem with noninstantaneous impulses, ON FRACTIONAL VOLTERRA INTEGRODIFFERENTIAL EQUATIONS WITH FRACTIONAL INTEGRABLE IMPULSES, Existence theory and stability analysis of fractional Langevin equation, Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type, \(C^\ast\)-algebra valued fuzzy normed spaces with application of Hyers-Ulam stability of a random integral equation

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