Title of article
Existence and multiplicity of solutions for nonlinear fractional differential equations
Author/Authors
Marasi ، Hamidreza - Bonab University , Piri ، Hossein - Bonab University , Aydi ، Hassen - University of Dammam
Pages
8
From page
4639
To page
4646
Abstract
In this paper, we consider the following fractional initial value problems: { Mathematical Formulas } where n − 1 β α n, (n ∈ N) are real numbers, Dα and Dβ are the Caputo fractional derivatives and f ∈ C([0, 1] × R). Using the fixed point index theory, we study the existence and multiplicity of positive solutions and obtain some new results.
Keywords
Fractional differential equation , positive solution , index fixed point theorem
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2016
Journal title
Journal of Nonlinear Science and Applications
Record number
2476099
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