Journal ArticleDOI
Positive solutions for a system of fractional differential equations with coupled integral boundary conditions
Johnny Henderson,Rodica Luca +1 more
TLDR
This work investigates the existence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with coupled integral boundary conditions.About:
This article is published in Applied Mathematics and Computation.The article was published on 2014-12-15. It has received 54 citations till now. The article focuses on the topics: Fractional calculus & Boundary value problem.read more
Citations
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Journal ArticleDOI
Unique solutions for a new coupled system of fractional differential equations
Chengbo Zhai,Ruiting Jiang +1 more
TL;DR: In this paper, a new coupled system of fractional differential equations with integral boundary conditions was discussed, and the existence and uniqueness of solutions were established based upon a fixed point theorem of increasing φ-consuming φ -consuming -concave operators. And then the obtained result was well demonstrated with the aid of an interesting example.
Journal ArticleDOI
The spectral analysis for a singular fractional differential equation with a signed measure
TL;DR: Based on these properties of the first eigenvalue of a fractional differential equation, the fixed point index of the nonlinear operator is calculated explicitly and some sufficient conditions for the existence of positive solutions are established.
Journal ArticleDOI
On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions
TL;DR: In this paper, the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations, subject to coupled integral boundary conditions, are investigated.
Journal ArticleDOI
Existence and nonexistence of positive solutions for the fractional coupled system involving generalized p-Laplacian
Ying Wang,Jiqiang Jiang +1 more
TL;DR: In this paper, a class of fractional coupled systems with Riemann-Stieltjes integral boundary conditions and generalized p-Laplacian was studied, and the existence and nonexistence of positive solutions were investigated.
Journal ArticleDOI
Nonexistence of positive solutions for a system of coupled fractional boundary value problems
Johnny Henderson,Rodica Luca +1 more
TL;DR: In this article, the nonexistence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with coupled integral boundary conditions was investigated, and it was shown that positive solutions are not possible.
References
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Book
Fractional Integrals and Derivatives: Theory and Applications
TL;DR: Fractional integrals and derivatives on an interval fractional integral integrals on the real axis and half-axis further properties of fractional integral and derivatives, and derivatives of functions of many variables applications to integral equations of the first kind with power and power-logarithmic kernels integral equations with special function kernels applications to differential equations as discussed by the authors.
Book
Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
TL;DR: In the last two decades, fractional differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing as discussed by the authors.
Book
Functional Fractional Calculus for System Identification and Controls
TL;DR: The fractional calculus as mentioned in this paper is an extraordinary and outstanding theory that does not deal with ordinary differential calculus and can now be applied to situations where existing theories fail to give satisfactory results.