학술논문
Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition.
Document Type
Journal
Author
Kharat, Vinod Vijaykumar (6-NBNSCE-M) AMS Author Profile; Reshimkar, Anand Rajshekhar (6-DDCAS-M) AMS Author Profile; Kazi, Mansoorali A. Aziz (6-NBNSCE-M) AMS Author Profile; Gophane, Machchhindra Tolaji (6-SHIV) AMS Author Profile
Source
Subject
34 Ordinary differential equations -- 34B Boundary value problems
34B10Nonlocal and multipoint boundary value problems
34Ordinary differential equations -- 34K Functional-differential and differential-difference equations
34K37Functional-differential equations with fractional derivatives
34B10
34
34K37
Language
English
Abstract
Summary: ``In this study, we give results on the existence and uniqueness of solutions for generalized fractional integrodifferential equations with a nonlocal terminal condition. We have proved the existence of solutions to the problem proposed using the Schauder fixed point theorem and the uniqueness of its solutions is proved using the Banach fixed point theorem. At the end, we discussed the examples to support our results.''