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Existence and uniqueness results for initial value problem of nonlinear fractional integro‐differential equation on an unbounded domain in a weighted Banach space
Author(s) -
Boulfoul A.,
Tellab B.,
Abdellouahab N.,
Zennir Kh.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6957
Subject(s) - mathematics , uniqueness , banach space , domain (mathematical analysis) , nonlinear system , mathematical analysis , initial value problem , fixed point theorem , pure mathematics , quantum mechanics , physics
This article is concerned with the existence and uniqueness of solutions for nonlinear fractional integro‐differential equation on an unbounded domain in a weighted Banach space. New results are showed owing to the fixed point theorems of Banach and Krasnoselskii. We illustrate our results by examples to ending our theoretical study.

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