BVP with a Load in the Form of a Fractional Integral
Kosmakova M. Akhmanova D. Izhanova K.
2024John Wiley and Sons Ltd
International Journal of Mathematics and Mathematical Sciences
2024#2024
A boundary value problem for a nonhomogeneous heat equation with a load in the form of a fractional Riemann–Liouville integral of an order β ∈(0,1)is considered. By inverting the diferential part, the problem is reduced to an integral equation with a kernel with a special function. Te special function is presented as a generalized hypergeometric function. Te limiting cases of the order β of the fractional derivative are studied: it is shown that the interval for changing the order of the fractional derivative can be expanded to integer values β∈[0,1]. Te results of the study remain unchanged. Te kernel of the integral equation is estimated. Conditions for the solvability of the integral equation are obtained.
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Karaganda Buketov University, 28 Universitetskaya Str, Karaganda, Kazakhstan
Karaganda Buketov University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026