Open AccessAn investigation on existence and uniqueness of solution for Integro differential equation with fractional order
Author(s) -
Nimai Sarkar,
Mausumi Sen
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1849/1/012011
Subject(s) - mathematics , integro differential equation , fixed point theorem , uniqueness , differential equation , mathematical analysis , integral equation , fractional calculus , contraction principle , contraction mapping , fixed point , first order partial differential equation
Present article deals with some theoretical results regarding the solution of integro differential equation with integral boundary condition. Main idea is to covert the integro differential equation into corresponding integral equation. Then we adopt a suitable transformation to implement Banach contraction and Schaefer-Krasnoselskii fixed point Theorem. Finally by properties of fractional calculus and fixed point theory we derive the main results. An example is considered for the verification of theoretical work.