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The explicit solution to fuzzy differential equation with piecewise constant arguments involving the multi-order fractional derivative in (1,2) | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 23، شماره 4، مهر و آبان 2026، صفحه 183-201 اصل مقاله (681.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2026.54660.9681 | ||
| نویسندگان | ||
| Van Phut Lai1؛ Van Hoa Ngo* 2 | ||
| 1Department of Mathematics, FPT University HCM, Saigon Hi-tech Park, Ho Chi Minh City, Vietnam | ||
| 2Laboratory for Applied and Industrial Mathematics, Institute for Computational Science and Artificial Intelligence, Van Lang University, Ho Chi Minh City, Vietnam | ||
| چکیده | ||
| This paper investigates non-homogeneous linear fuzzy fractional differential equations with piecewise constant arguments involving generalized multi-order Caputo fractional derivatives of order $\mathfrak{q}_{\imath} \in (1,2)$. By employing generalized single-level constrained fuzzy arithmetic, explicit closed-form solutions are obtained. A fuzzy vehicle-following model is included to demonstrate the applicability of the proposed results and to illustrate the effects of fractional orders, kernel functions, and fuzzy disturbances on the solution behavior. | ||
| کلیدواژهها | ||
| Fuzzy non-homogeneous linear differential equations؛ piecewise constant arguments؛ generalized multi-order Caputo fractional derivative؛ explicit solution؛ variation of constants formula | ||
| مراجع | ||
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