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Existence and Numerical Computation of Solutions for a Delayed Fractional Evolution Chafee-Infante's IVP | ||
| Caspian Journal of Mathematical Sciences | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 آبان 1405 | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2026.32181.1873 | ||
| نویسندگان | ||
| Nourredine Houari1؛ Svetlin Georgiev Georgiev2؛ Mohammad Esmael Samei* 3 | ||
| 1Department of Mathematics and Computer Science, Faculty of Science and Technology, Tissemsilt University, Tissemsilt, Algeria | ||
| 2Department of Mathematics, Sorbonne University, Paris, France | ||
| 3Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran | ||
| تاریخ دریافت: 31 خرداد 1405، تاریخ بازنگری: 05 شهریور 1405، تاریخ پذیرش: 27 شهریور 1405 | ||
| چکیده | ||
| In this work, we deal with a class of nonlocal quasilinear fractional Chafee-Infante initial value problem involving delay. Our purpose is to discuss the existence of multiple solutions using novel fixed point approach based on some topological properties of operators together with Leray-Schauder conditions on the boundaries of some open sets. An example is presented to illustrate the usefulness of our main findings. A numerical analysis is also included by developing an approximation scheme to strengthen the theoretical results. | ||
| کلیدواژهها | ||
| Chafee-Infante equation؛ generalized fractional derivative؛ delay؛ nonlinear analysis؛ numerical scheme | ||
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