Multiplicity Results of Multi-Point Boundary Value Problem of Nonlinear Fractional Differential Equations

Authors

Kamal Shah, Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, PakistanFollow
Salman Zeb, Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, PakistanFollow
Rahmat Ali Khan, Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, PakistanFollow

Author Country (or Countries)

Pakistan

Abstract

This article is concerned to study the existence and multiplicity of positive solutions to a class with multi-point boundary conditions of nonlinear differential equations having fractional order. Where the nonlinear term is a continuous function. Sufficient conditions for multiplicity results of positive solutions to the problem under consideration are obtained by using Leggett - Williams ’s fixed point theorem. Further, the generalization of the concerned results are also obtained for more than three positive solutions. For the demonstration of our results, we provide an example.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120407

Recommended Citation

Shah, Kamal; Zeb, Salman; and Ali Khan, Rahmat (2018) "Multiplicity Results of Multi-Point Boundary Value Problem of Nonlinear Fractional Differential Equations," Applied Mathematics & Information Sciences: Vol. 12: Iss. 4, Article 7.
DOI: http://dx.doi.org/10.18576/amis/120407
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss4/7