Existence results for coupled nonlinear fractional differential equations of different orders with nonlocal coupled boundary conditions

DOI10.1186/s13660-021-02636-5zbMath1504.34006OpenAlexW3172781347WikidataQ115241546 ScholiaQ115241546MaRDI QIDQ2072863

Ahmed Alsaedi, Bashir Ahmad, Sotiris K. Ntouyas, Soha Hamdan

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02636-5

zbMATH Keywords

existencefixed point theoremssystemfractional differential equationsCaputo fractional derivative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) 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)

Related Items (4)

Existence results for a self-adjoint coupled system of nonlinear second-order ordinary differential inclusions with nonlocal integral boundary conditions ⋮ On solutions of a hybrid generalized Caputo-type problem via the noncompactness measure in the generalized version of Darbo's criterion ⋮ Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions ⋮ On a system of sequential Caputo-type \(p\)-Laplacian fractional BVPs with stability analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional integro-differential equations with dual anti-periodic boundary conditions.
• Axial couette flow of two kinds of fractional viscoelastic fluids in an annulus
• On disappearance of chaos in fractional systems
• Existence results for fractional differential equations with integral and multi-point boundary conditions
• A higher-order blended compact difference (BCD) method for solving the general 2D linear second-order partial differential equation
• On a system of fractional differential equations with coupled integral boundary conditions
• Existence and uniqueness results for a nonlinear coupled system involving Caputo fractional derivatives with a new kind of coupled boundary conditions
• A study of coupled systems of mixed order fractional differential equations and inclusions with coupled integral fractional boundary conditions
• Symmetry analysis of initial and boundary value problems for fractional differential equations in Caputo sense
• Nonlinear multi-term fractional differential equations with Riemann-Stieltjes integro-multipoint boundary conditions
• On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions
• Finite-time synchronization of fractional-order complex-valued coupled systems
• A posteriori error estimation in maximum norm for a two-point boundary value problem with a Riemann-Liouville fractional derivative
• Green function's properties and existence theorems for nonlinear singular-delay-fractional differential equations
• Existence results for a nonlinear coupled system involving both Caputo and Riemann-Liouville generalized fractional derivatives and coupled integral boundary conditions
• A system of coupled multi-term fractional differential equations with three-point coupled boundary conditions
• Coercive nonlocal elements in fractional differential equations
• Diffusion and Reactions in Fractals and Disordered Systems
• Chaos synchronization in fractional differential systems
• Analysis of fractional order differential coupled systems
• Existence and uniqueness of solutions for a nonlinear fractional initial value problem involving Caputo derivatives
• STABILITY RESULTS AND EXISTENCE THEOREMS FOR NONLINEAR DELAY-FRACTIONAL DIFFERENTIAL EQUATIONS WITH <inline-formula><tex-math id="M1">$ \varphi^*_P $</tex-math></inline-formula>-OPERATOR
• Remarks on some families of fractional-order differential equations
• On fully coupled nonlocal multi-point boundary value problems of nonlinear mixed-order fractional differential equations on an arbitrary domain
• EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN OPERATOR
• An existence result for a periodic boundary value problem of fractional semilinear differential equations in a Banach space
• FRACTIONAL ORDER NONLINEAR MIXED COUPLED SYSTEMS WITH COUPLED INTEGRO-DIFFERENTIAL BOUNDARY CONDITIONS

This page was built for publication: Existence results for coupled nonlinear fractional differential equations of different orders with nonlocal coupled boundary conditions