Unique positive solution for a fractional boundary value problem

DOI10.2478/s13540-013-0057-0zbMath1312.34062OpenAlexW1987741682MaRDI QIDQ2347382

Jiafa Xu, Keyu Zhang

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-013-0057-0

zbMATH Keywords

uniquenesspositive solutionfractional boundary value problemiterative convergence

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (9)

Positive solutions of higher-order nonlinear multi-point fractional equations with integral boundary conditions ⋮ Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions ⋮ Nonlinear multi-order fractional differential equations with periodic/anti-periodic boundary conditions ⋮ Existence and uniqueness of solutions for a fractional boundary value problem on a graph ⋮ Multiple positive solutions of nonlinear fractional differential equations with integral boundary value conditions ⋮ Existence and uniqueness of nonlinear multi-order fractional differential equations via Green function ⋮ Existence of solutions for a fractional-order boundary-value problem ⋮ Uniqueness of successive positive solution for nonlocal singular higher-order fractional differential equations involving arbitrary derivatives ⋮ Positive solutions of m-point fractional boundary value problem on the half line

Cites Work

• Periodic boundary value problems for fractional differential equations involving a Riemann-Liouville fractional derivative
• The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations
• Impulsive periodic boundary value problems for fractional differential equation involving Riemann-Liouville sequential fractional derivative
• Positive solutions for boundary value problems of nonlinear fractional differential equation
• Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions
• Positive solutions for a semipositone fractional boundary value problem with a forcing term
• Positive solutions for boundary value problem of nonlinear fractional differential equation
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