Weighted Hölder continuity of Riemann-Liouville fractional integrals – Application to regularity of solutions to fractional cauchy problems with Carathéodory dynamics-Reference-Cited by-同舟云学术

Weighted Hölder continuity of Riemann-Liouville fractional integrals – Application to regularity of solutions to fractional cauchy problems with Carathéodory dynamics

Published:2019-06-01 Issue:3 Volume:22 Page:722-749
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Bourdin Loïc¹

Affiliation:

1. XLIM Research Institute , CNRS UMR 7252 , University of Limoges , Limoges , France

Abstract

Abstract This paper is dedicated to several original (weighted) Hölder continuity results for Riemann-Liouville fractional integrals of weighted integrable functions. As an application, we prove a new weighted continuity result for solutions to nonlinear Riemann-Liouville fractional Cauchy problems with Carathéodory dynamics.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2019-0040/pdf

Reference18 articles.

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3. L. Bourdin, Existence of a weak solution for fractional Euler-Lagrange equations. J. Math. Anal. Appl. 399, No 1 (2013), 239–251.

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