Some analysis on a fractional differential equation involving a noncontinuous right-hand side

2018/05/28 by Müfit Şan, Şan, Müfit, Uğur Sert +1
Mathematics · #26A33 #34A08 #34A12 #37C25 #74G20 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Fractional Differential Equations Solutions #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #math.AP #math.FA #msc:26A33 #msc:34A08 #msc:34A12 #msc:37C25 #msc:74G20

paper · pdf · doi:10.48550/arxiv.1806.01922

11 pages

openalex publication_date 2018/05/28 · arxiv created 2018/12/22 · arxiv updated 2018/12/27 · openalex created_date 2022/09/04 · openalex updated_date 2026/07/28

Abstract

By developing new techniques we establish local existence and uniqueness theorems for an initial value problem involving a nonlinear equation in the sense of Riemann-Liouville fractional derivative in the case that the nonlinear function on the right hand side of the equation is not continuous on [0,T]×ℝ.

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