Some analysis on a fractional differential equation with a right-hand side which has a discontinuity at zero

Müfit Şan; Uğur Sert

doi:10.15672/hujms.512563

Some analysis on a fractional differential equation with a right-hand side which has a discontinuity at zero

Müfit Şan
, Uğur Sert

Division of Analysis and Theory of Functions

Çankiri Karatekin University

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In this article, we consider an initial value problem for a nonlinear differential equation with Riemann-Liouville fractional derivative. By proposing a new approach, we prove local existence and uniqueness of the solution when the nonlinear function on the right hand side of the equation under consideration is continuous on (0, T] ×.

Original language	English
Pages (from-to)	1718-1725
Number of pages	8
Journal	Hacettepe Journal of Mathematics and Statistics
Volume	49
Issue number	5
DOIs	https://doi.org/10.15672/hujms.512563
Publication status	Published - 2020

Keywords

Fractional differential equations
Mean value theorem
Nagumo-type uniqueness
Peano-type existence theorem

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10.15672/hujms.512563

Cite this

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abstract = "In this article, we consider an initial value problem for a nonlinear differential equation with Riemann-Liouville fractional derivative. By proposing a new approach, we prove local existence and uniqueness of the solution when the nonlinear function on the right hand side of the equation under consideration is continuous on (0, T] ×.",

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KW - Fractional differential equations

KW - Mean value theorem

KW - Nagumo-type uniqueness

KW - Peano-type existence theorem

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Some analysis on a fractional differential equation with a right-hand side which has a discontinuity at zero

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Keywords

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