On a class of inverse problems for a loaded diffusion equation fractional order with involution perturbation
Batirkhan T. Obidjon A. Avazbek S.
2025Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan
Bulletin of the Institute of Mathematics
2025#8Issue 161 - 71 pp.
A class of inverse problems is considered for a fractional-order loaded diffusion equation with involution perturbation using four different boundary conditions. Proved theorems on the existence and uniqueness of solutions to these problems are presented. Solutions are obtained in the form of series expansion using a set of appropriate orthogonal basis for each problem. The convergence of the obtained solutions is also proved.
existence and uniqueness of solution , fractional-order loaded diffusion equation , Inverse problems , involution perturbation , series expansion
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Akhmet Yassawi University, Turkestan, Kazakhstan
Alfraganus University, and V.I.Romanovskiy Institute of Mathematics, Tashkent, Uzbekistan
Alfraganus University, Tashkent, Uzbekistan
Akhmet Yassawi University
Alfraganus University
Alfraganus University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026