Existence and Uniqueness via Carathéodory Approach

Publication type: Book Chapter
Publication date: 2025-02-11
Springer Nature
SJR: —
CiteScore: 0.7
Impact factor: —
ISSN: 23646837, 23646845
Abstract
In this Carathéodorychapter, we devote our attention to using the CaratheodoryCaratheodory principle to derive conditions under which these globalGlobal fractional differential equations admit unique solution. In general, Caratheodory’s existenceExistence theorem implies that a given nonlinear differential equation admits a solution under some mild conditions. The literature says that these conditions are indeed the extension of well-known Peano’s existenceExistence theorem.
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ATANGANA A. et al. Existence and Uniqueness via Carathéodory Approach // Advances in Topology and Their Interdisciplinary Applications. 2025. pp. 137-164.
GOST all authors (up to 50) Copy
ATANGANA A., Koca İ. Existence and Uniqueness via Carathéodory Approach // Advances in Topology and Their Interdisciplinary Applications. 2025. pp. 137-164.
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TY - GENERIC
DO - 10.1007/978-981-97-9951-0_7
UR - https://link.springer.com/10.1007/978-981-97-9951-0_7
TI - Existence and Uniqueness via Carathéodory Approach
T2 - Advances in Topology and Their Interdisciplinary Applications
AU - ATANGANA, ABDON
AU - Koca, İlknur
PY - 2025
DA - 2025/02/11
PB - Springer Nature
SP - 137-164
SN - 2364-6837
SN - 2364-6845
ER -
BibTex
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@incollection{2025_ATANGANA,
author = {ABDON ATANGANA and İlknur Koca},
title = {Existence and Uniqueness via Carathéodory Approach},
publisher = {Springer Nature},
year = {2025},
pages = {137--164},
month = {feb}
}