A Solution To Nonlinear Volterra Integro-Dynamic Equations Via Fixed Point Theory
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Univ Nis, Fac Sci Math
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Abstract
In this paper we discuss the existence and uniqueness of solutions of a certain type of nonlinear Volterra integro-dynamic equations on time scales. We investigate the problem in the setting of a complete b-metric space and apply a fixed point theorem with a contractive condition involving b-comparison function. We use the theorem to show the existence of a unique solution of some particular integro-dynamic equations.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254; ERHAN, INCI M./0000-0001-6042-3695
Keywords
integro-dynamic equation, fixed point, comparison function, time scales, integro-dynamic equation, fixed point, Volterra integral equations, Applications of operator theory to differential and integral equations, Real analysis on time scales or measure chains, time scales, comparison function
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
OpenCitations Citation Count
8
Source
Filomat
Volume
33
Issue
16
Start Page
5331
End Page
5343
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CrossRef : 8
Scopus : 10
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SCOPUS™ Citations
10
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9
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3
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