DENUMERABLY MANY POSITIVE SOLUTIONS FOR RL-FRACTIONAL ORDER BVP HAVING DENUMERABLY MANY SINGULARITIES

DENUMERABLY MANY POSITIVE SOLUTIONS FOR RL-FRACTIONAL ORDER BVP HAVING DENUMERABLY MANY SINGULARITIES

K. R. Prasad, M. Khuddush, M. Rashmitha

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Abstract

In this paper, we consider Riemann-Liouville two-point fractional order boundary value problem having denumerably many singularities and determined suf- cient conditions for the existence of denumerably many positive solutions by an appli- cation of Krasnoselskii's cone xed point theorem in a Banach space.

Keywords

fractional derivative, homeomorphism, homomorphism, cone, Krasnoselskii's xed point theorem, positive solutions.