Results for Mild Solution of Fractional Coupled Hybrid Boundary Value Problems
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
de Gruyter Poland Sp Z O O
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Top 10%
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Top 10%
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Top 10%
Abstract
The study of coupled system of hybrid fractional differential equations (HFDEs) needs the attention of scientists for the exploration of its different important aspects. Our aim in this paper is to study the existence and uniqueness of mild solution (EUMS) of a coupled system of HFDEs. The novelty of this work is the study of a coupled system of fractional order hybrid boundary value problems (HBVP) with n initial and boundary hybrid conditions. For this purpose, we are utilizing some classical results, Leray-Schauder Alternative (LSA) and Banach Contraction Principle (BCP). Some examples are given for the illustration of applications of our results.
Description
Khan, Hasib/0000-0002-7186-8435; Jafari, Hossein/0000-0001-6807-6675; Johnston, Sarah Jane/0000-0002-8942-3012
Keywords
Hybrid Fractional Differential Equations, Existence And Uniqueness Of Mild Solution, Leray-Schauder Alternative, Banach Contraction Principle, existence and uniqueness of mild solution, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Numerical Methods for Singularly Perturbed Problems, leray–schauder alternative, QA1-939, FOS: Mathematics, hybrid fractional differential equations, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Applied Mathematics, Novelty, Contraction principle, Applied mathematics, FOS: Philosophy, ethics and religion, Philosophy, Boundary Value Problems, Modeling and Simulation, Physical Sciences, Theology, Uniqueness, Finite Difference Schemes, Mathematics, Mild Solutions, banach contraction principle, Fractional ordinary differential equations, Leray-Schauder alternative, Applications of operator theory to differential and integral equations, Nonlocal and multipoint boundary value problems for ordinary differential equations, Banach contraction principle
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Baleanu, Dumitru...et al. (2015). "Results for Mild solution of fractional coupled hybrid boundary value problems", Open Mathematics, Vol.13, pp.601-608.
WoS Q
Q2
Scopus Q
Q1
OpenCitations Citation Count
34
Source
Open Mathematics
Volume
13
Issue
Start Page
601
End Page
608
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CrossRef : 31
Scopus : 45
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