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Lyapunov-type inequalities for nonlinear fractional differential equations involving Caputo-type operators | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 26 اردیبهشت 1405 اصل مقاله (242.88 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.32702.2972 | ||
| نویسندگان | ||
| Elaeh Mohseni1؛ Azizollah Babakhani* 2؛ Hamzeh Agahi3 | ||
| 1Department of Mathematics, Babol Noshirvani University of Technology | ||
| 2Department of Mathematics, Faculty of Basic Sciences, Babol Noshirnani University of Technology, Babol, Iran | ||
| 3Department of Mathematics, Babol Noshirvani oUniversity of Technology | ||
| چکیده | ||
| This manuscript is devoted to the derivation of Lyapunov-type inequalities by means of a new approach for nonlinear fractional differential problems involving Caputo fractional operators subject to two boundary conditions. The considered problem involves multiple $\psi$-Laplacian operators of the form \begin{equation*} {}^CD^\alpha_{\eta^+}\Big[\psi_{2}\Big(\frac{d}{dx}\big(\psi_{1}(\frac{d}{dx}w)\big)\Big)\Big]+p(x)g(w)=0, \end{equation*} where $\psi_2$ and $\psi_1$ are odd, increasing functions, $\psi_1$ is sub-multiplicative and $\frac{1}{\psi_1}$ is convex and $g$ is a continuous function. Our results apply $p_+$ and $p_-$, as opposed to $|p|$ which appears in most results in the literature | ||
| کلیدواژهها | ||
| Riemann-Liouville fractional operator؛ Caputo derivative؛ Lyapunov-type inequality؛ convex function | ||
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