Qualitative behaviour of solutions of hybrid fractional integral equation with linear perturbation of second kind in Banach Space

Kavita Sakure1* and Samir Dashputre2

doi:10.26637/MJM0603/0008

Qualitative behaviour of solutions of hybrid fractional integral equation with linear perturbation of second kind in Banach Space

Authors :

Kavita Sakure^1*and Samir Dashputre²

Author Address :

¹Department of Mathematics, Govt. Digvijay Auto. P.G. College, Rajnandgaon, 491441, Chhattisgarh, India.
²Department of Mathematics, Govt. College, Arjunda, 491225, Chhattisgarh, India.

*Corresponding author.

Abstract :

In this paper, we present existence and qualitative behaviour of solution of hybrid fractional integral equation with linear perturbation of second kind by applying measure of noncompactness
in Banach space. We established our result in the Banach space of real-valued functions defined, continuous and bounded in the right hand real axis.

Keywords :

Hybrid fractional integral equation, measure of noncompactness, attractivity of solution.

DOI :

10.26637/MJM0603/0008

Article Info :

Received : March 02, 2018; Accepted : May 27, 2018.