Existence of positive solutions of nonlinear fractional differential equations

By Azizollah Babakhani, Varsha Daftardar-Gejji. 2003

234 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/8d51105ddee4c4f78f60750af058af3e53ce8ad3

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In Applied Mathematics

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

Existence of Solutions for Fractional Differential Equations with Multi-point Boundary Conditions at Resonance on a Half-line (2011, background): “The research of fractional differential equations on boundary value problems, as one of the focal topics, has attained a great deal of attention from many researchers (see [18, 19, 20, 21, 29, 34]).”
On a Class of Measures of Noncompactness in Banach Algebras and Their Application to Nonlinear Integral Equations (2009, background): “Olszowy mathematical literature concerning mentioned equations is very extensive and includes both research papers [4, 10,13,15] and monographs [21,25,26].”
Existence of solutions of initial value problems for nonlinear fractional differential equations on (2011, background): “[16], Ouahab [17], El-Sayed [18–20], Nieto [21], Li and Deng [22], Kosmatov [23], Muslim [24], Stojanović [25], Delbosco and Rodino [26] and Babakhani and Gejji [27].”
Two-point boundary value problems for finite fractional difference equations (2011, methodology): “We refer the reader to [13–15] for accounts of the historical development; we refer the reader to [4,5,8,16] for samples of recent studies in boundary value problems for fractional differential equations.”
On a discrete fractional three-point boundary value problem (2012, background): “For example, the papers [2,11,12,14,17,24,30] each attend to various theoretical properties of the continuous fractional calculus.”
SOLUTIONS TO A DISCRETE RIGHT-FOCAL FRACTIONAL BOUNDARY VALUE PROBLEM (2010, unknown): “However, only in recent years has there been an explosion of research in this area – see, for example, [2, 8, 9, 17, 21] and the references therein.”