On positive solutions for a class of singular nonlinear fractional differential equations

DOI10.1186/1687-2770-2012-73zbMath1279.34009OpenAlexW2157153191WikidataQ59289162 ScholiaQ59289162MaRDI QIDQ377689

Mohamed Jleli, Bessem Samet

Publication date: 7 November 2013

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-73

zbMATH Keywords

positive solutioncoupled fixed pointordered metric spacesingular fractional differential equationcoupled lower and upper solution

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Fractional ordinary differential equations (34A08)

Related Items (10)

Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions ⋮ Coupled fixed point theorems in cone metric spaces with a \(c\)-distance and applications ⋮ Common coupled fixed point theorems on \(C^\star\)-algebra-valued partial metric spaces ⋮ Coupled coincidence point and common coupled fixed point theorems lacking the mixed monotone property ⋮ Fractional BVPs with strong time singularities and the limit properties of their solutions ⋮ Coupled coincidence point and coupled fixed point theorems via generalized Meir-Keeler type contractions ⋮ S-asymptotically \(\omega\)-positive periodic solutions for a class of neutral fractional differential equations ⋮ Existence and nonexistence of positive solutions for fractional-order two-point boundary value problems ⋮ Existence and uniqueness results for a class of singular fractional boundary value problems with the \(p\)-Laplacian operator via the upper and lower solutions approach ⋮ Solving an integral equation via \(\mathscr{C}^{\star}\)-algebra-valued partial \(b\)-metrics

Cites Work

• Fixed point theorems for mixed monotone operators and applications to integral equations
• Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
• Basic theory of fractional differential equations
• Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces
• Existence and uniqueness for a nonlinear fractional differential equation
• Abstract comparison principles and multivariable Gronwall-Bellman inequalities
• Analysis of a system of fractional differential equations
• Existence of positive solution for some class of nonlinear fractional differential equations
• Existence of positive solutions of nonlinear fractional differential equations
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• ON THE RIEMANN-LIOUVILLE FRACTIONAL CALCULUS AND SOME RECENT APPLICATIONS
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Generalized contractions in partially ordered metric spaces
• Positive solutions for boundary value problem of nonlinear fractional differential equation

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