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http://dx.doi.org/10.22771/nfaa.2021.26.05.11

EXISTENCE AND UNIQUENESS OF A SOLUTION FOR FIRST ORDER NONLINEAR LIOUVILLE-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS  

Nanware, J.A. (Department of Mathematics, Shrikrishna Mahavidyalaya)
Gadsing, Madhuri N. (Department of Mathematics, Jawahar Arts, Science and Commerce College)
Publication Information
Nonlinear Functional Analysis and Applications / v.26, no.5, 2021 , pp. 1011-1020 More about this Journal
Abstract
In this paper, first order nonlinear Liouville-Caputo fractional differential equations is studied. The existence and uniqueness of a solution are investigated by using Krasnoselskii and Banach fixed point theorems and the method of lower and upper solutions. Finally, an example is given to illustrate our results.
Keywords
Lower-upper solutions; fractional differential equations; existence and uniqueness solution; fixed points;
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