On the existence and uniqueness of solutions for fractional differential equations with nonlocal multi-point boundary conditions

DOI10.7153/dea-2021-13-13zbMath1499.34051arXiv1811.10706OpenAlexW3208570995WikidataQ115157925 ScholiaQ115157925MaRDI QIDQ5078614

Faouzi Haddouchi

Publication date: 23 May 2022

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10706

zbMATH Keywords

existencefixed point theoremRiemann-Liouville fractional integralCaputo fractional derivativefractional-order differential equationsnonlocal multi-point boundary conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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 (1)

Study of a sequential \(\psi \)-Hilfer fractional integro-differential equations with nonlocal BCs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Triple positive solutions for two classes of delayed nonlinear fractional FDEs with nonlinear integral boundary value conditions
• Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions
• Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions
• The uniqueness of positive solution for a singular fractional differential system involving derivatives
• Positive solutions of eigenvalue problems for a class of fractional differential equations with derivatives
• The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives
• Solvability of multi-point boundary value problems for multiple term Riemann-Liouville fractional differential equations
• Fractional calculus in viscoelasticity: an experimental study
• On fractional filtering versus conventional filtering in economics
• Fractional differential equations in electrochemistry
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Time-fractional telegraph equations and telegraph processes with Brownian time
• Existence of solutions for the delayed nonlinear fractional functional differential equations with three-point integral boundary value conditions
• Solvability of triple-point integral boundary value problems for a class of impulsive fractional differential equations
• Eigenvalue intervals for nonlocal fractional order differential equations involving derivatives
• Existence results for coupled nonlinear fractional differential equations equipped with nonlocal coupled flux and multi-point boundary conditions
• Existence results for fractional differential equations with integral and multi-point boundary conditions
• Systems of Riemann-Liouville fractional equations with multi-point boundary conditions
• Existence results for fractional-order differential equations with nonlocal multi-point-strip conditions involving Caputo derivative
• Positive solutions of \(m\)-point multi-term fractional integral BVP involving time-delay for fractional differential equations
• Existence of positive solutions for multi-point boundary value problems of Caputo fractional differential equation
• Existence results for the fractional differential equations with multi-strip integral boundary conditions
• Positive solutions for a class of fractional differential equations with integral boundary conditions
• Multiple positive solutions for some multi-point boundary value problems with \(p\)-Laplacian
• On nonlinear fractional-order boundary value problems with nonlocal multi-point conditions involving Liouville-Caputo derivative
• On Nonlinear Contractions

This page was built for publication: On the existence and uniqueness of solutions for fractional differential equations with nonlocal multi-point boundary conditions