Study of Impulsive Problems Under Mittag-Leffler Power Law
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Sci Ltd
Open Access Color
GOLD
Green Open Access
Yes
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OpenAIRE Views
Publicly Funded
No
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Impulse
Top 1%
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Top 10%
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Top 10%
Abstract
This article is fundamentally concerned with deriving the solution formula, existence, and uniqueness of solutions of two types of Cauchy problems for impulsive fractional differential equations involving Atangana-Baleanu-Caputo (ABC) fractional derivative which possesses nonsingular Mittag-Leffler kernel. Our investigation is based on nonlinear functional analysis and some fixed point techniques. Besides, some examples are given delineated to illustrate the effectiveness of our outcome.
Description
Abdo, Mohammed S./0000-0001-9085-324X; Shah, Kamal/0000-0002-8851-4844
Keywords
Mathematics, Fractional Impulsive Problems, Atangana-Baleanu-Caputo Operator, Existence Theory, Fixed Point Theorem, Existence theory, Social sciences (General), H1-99, Atangana-Baleanu-Caputo operator, Q1-390, Science (General), Fixed point theorem, Fractional impulsive problems, Mathematics, Research Article
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences, 0301 basic medicine, 03 medical and health sciences, 0104 chemical sciences
Citation
Abdo, Mohammed S...et al. (2020). "Study of impulsive problems under Mittag-Leffler power law", Heliyon, Vol. 6, No. 10.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
37
Source
Heliyon
Volume
6
Issue
10
Start Page
End Page
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Citations
CrossRef : 35
Scopus : 38
PubMed : 2
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Mendeley Readers : 10
SCOPUS™ Citations
40
checked on Feb 23, 2026
Web of Science™ Citations
37
checked on Feb 23, 2026
Page Views
7
checked on Feb 23, 2026
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