ψ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\psi $$\end{document}-Tempered fractional differential equations with impulsesψ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\psi $$\end{document}-Tempered fractional differential equations...N. Nyamoradi, C. E. T. Ledesma

被引：0

作者：

Nemat Nyamoradi ^{[1
]}

César E. Torres Ledesma ^{[2
]}

机构：

[1] Razi University,Department of Mathematics, Faculty of Sciences

[2] Universidad Nacional de Trujillo,Instituto de Investigación en Matemáticas, Faculta de Ciencias Físicas y Matemáticas

来源：

Rendiconti del Circolo Matematico di Palermo Series 2 | 2025年 / 74卷 / 1期

关键词：

Riemann–Liouville tempered fractional integrals; -Tempered fractional integrals; Fréchet–Kolmogorov; spaces; Primary 26A33; 45P05; 46B50;

D O I：

10.1007/s12215-024-01163-8

中图分类号：

学科分类号：

摘要：

In this paper, we study variational structure for the ψ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\psi $$\end{document}-Tempered fractional derivatives operator. We investigate some properties of ψ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\psi $$\end{document}-Tempered fractional integral and derivative which are used of variational structure. Also, the existence of solutions for a problem with ψ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\psi $$\end{document}-Tempered fractional derivative is proved by applying variational methods and critical point theory. Finally, an example is provided.

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