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8 results on '"Benmerrous, Abdelmjid"'

1. On a fractional Cauchy problem with singular initial data

Author

Benmerrous Abdelmjid, Chadli Lalla saadia, Moujahid Abdelaziz, Elomari M’hamed, and Melliani Said

Subjects
cauchy problem, colombeau algebra, caputo derivative, banach space, 46f10, 46s10, 35a27, Mathematics, QA1-939
Abstract

This article is dedicated to establishing the existence and uniqueness of solutions for the following problem: Dαx(t)=F(t,x(t))x(0)=x0,\left\{\begin{array}{l}{D}^{\alpha }x\left(t)=F\left(t,x\left(t))\hspace{1.0em}\\ x\left(0)={x}_{0},\hspace{1.0em}\end{array}\right. where x0{x}_{0} is the singular generalized function and F satisfies L∞{L}^{\infty } logarithmic type, Dα{D}^{\alpha } is the Caputo derivative of order m−1

Published
2024
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3. Generalized Solution of Transport Equation

Author

Chadli, Lalla Saadia, Benmerrous, Abdelmjid, Moujahid, Abdelaziz, Elomari, M’hamed, Melliani, Said, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Melliani, Said, editor, and Castillo, Oscar, editor

Published
2023
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