FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH A SQUARE OF PSEUDOPARABOLIC OPERATOR AND AN ADDITIONAL NONLINEAR CONDITION
ДРОБНОЕ ИНТЕГРО-ДИФФЕРЕНЦИАЛЬНОЕ УРАВНЕНИЕ С КВАДРАТОМ ПСЕВДОПАРАБОЛИЧЕСКОГО ОПЕРАТОРА И ДОПОЛНИТЕЛЬНЫМ НЕЛИНЕЙНЫМ УСЛОВИЕМ
Kosmakova M.T. Ramazanova A.T. Sulaymonov F.U. Yuldashev T.K.
2025Chelyabinsk State University
Chelyabinsk Physical and Mathematical Journal
2025#10Issue 3527 - 540 pp.
The questions of unique solvability of direct and inverse boundary value problems for a homogeneous integro-differential equation containing a quadrat of Hilfer fractional analogue for the Barenblatt-Zheltov-Kochina operator, two spatial variables and degenerate kernel are studied. The redefinition function is given in boundary condition and the additional condition has a nonlinear form. The Fourier series method based on the separation of variables is used. Sufficient coefficient conditions for unique classical solvability of the direct and inverse boundary value problems are established.
additional nonlinear condition , Barenblatt-Zheltov-Kochina operator , degenerate kernel , inverse boundary value problem , quadrat of fractional operator , unique solvability
Text of the article Перейти на текст статьи
Karaganda Buketov University, Karaganda, Kazakhstan
Universitat Duisburg-Essen, Essen, Germany
Jizzakh State Pedagogical University, Jizzakh, Uzbekistan
Samarkand State University, Samarkand, Uzbekistan
Karaganda Buketov University
Universitat Duisburg-Essen
Jizzakh State Pedagogical University
Samarkand State University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026