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Existence and regularity for ψ-Hilfer fractional elliptic problems with variable exponents and singular terms | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 19 شهریور 1405 اصل مقاله (280.46 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.32704.2977 | ||
| نویسندگان | ||
| Hajar Hilali؛ Abderrazak Kassidi* ؛ Lalla Saadia Chadli | ||
| Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni-Mellal, Morocco. | ||
| چکیده | ||
| We investigate a nonlinear elliptic system featuring a singular nonlinearity, lower-order terms, and L1-data in the setting of ψ-Hilfer fractional Sobolev spaces with variable exponents. Our analysis relies on the ψ-Hilfer fractional derivative operator. We establish the existence of weak positive solutions and derive refined regularity estimates. A key finding is the regularizing effect induced by the lower-order terms: concretely, they enable the solution to belong to a better Sobolev space than would otherwise be possible, thereby overcoming the limitations ordinarily imposed by the singular nonlinearity and the roughness of the data. The proof combines variational techniques, truncation arguments, and compactness methods tailored to the variable-exponent fractional framework | ||
| کلیدواژهها | ||
| Elliptic fractional problem؛ existence and regularity؛ ψ-Hilfer fractional derivative؛ variable exponents؛ singular source term | ||
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آمار تعداد مشاهده مقاله: 8 تعداد دریافت فایل اصل مقاله: 7 |
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