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On Weighted Cauchy-Type Problem of Riemann-Liouville Fractional Differential Equations in Lebesgue Spaces with Variable Exponent.
- Source :
- Universal Journal of Mathematics & Applications; Jun2024, Vol. 7 Issue 2, p93-101, 9p
- Publication Year :
- 2024
-
Abstract
- This paper aims to investigate the existence, uniqueness, and stability properties for a class of fractional weighted Cauchy-type problem in the variable exponent Lebesgue space L<superscript>p(.)</superscript>. The obtained results are set up by employing generalized intervals and piece-wise constant functions so that the L<superscript>p(.)</superscript> is transformed into the classical Lebesgue spaces. Moreover, the usual Banach Contraction Principle is utilized, and the Ulam-Hyers (UH) stability is studied. At the final stage, we provide an example to support the accuracy of the obtained results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 26199653
- Volume :
- 7
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Universal Journal of Mathematics & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 177738481
- Full Text :
- https://doi.org/10.32323/ujma.1409291