A study of existence and multiplicity of positive solutions for nonlinear fractional differential equations with nonlocal boundary conditions
DOI:
https://doi.org/10.24193/subbmath.2021.2.12Keywords:
Positive solution, fractional differential equations, existence, multiplicity, nonlocal boundary, Green’s function.Abstract
This paper deals with the existence, uniqueness and the multiplicity of solutions for a class of fractional differential equations boundary value problems involving three-point nonlocal Riemann-Liouville fractional derivative and integral boundary conditions. Our results are based on some well-known tools of fixed point theory such as Banach contraction principle, fixed point index theory and the Leggett-Williams fixed point theorem. As applications, some examples are presented at the end to illustrate the main results.
Mathematics Subject Classification (2010): 34A08, 26A33, 34A60.
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