A boundary problem for the time-fractional Hallaire–Luikov moisture transfer equation with Hilfer derivative

Nasser Al-Salti, Erkinjon Karimov*, Sebti Kerbal

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

ملخص

We aim to prove a unique solvability of a boundary-value problem with Dirichlet conditions for the Hallaire–Luikov moisture transfer equation involving generalized fractional derivative (Hilfer derivative) in time. The formal solution to the problem has been obtained in a series form using the method of spectral expansion. Imposing certain conditions on given functions and using certain properties of the multinomial Mittag–Leffler function, we prove a uniform convergence of corresponding infinite series. Moreover, a number of properties of the multinomial Mittag–Leffler function in some particular cases are also presented. Finally, an example solution is provided to illustrate the obtained results.

اللغة الأصليةEnglish
رقم المقال2
دوريةComputational and Applied Mathematics
مستوى الصوت42
رقم الإصدار2
المعرِّفات الرقمية للأشياء
حالة النشرPublished - فبراير 24 2023

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