Inverse-Initial Problem for Time-Degenerate PDE Involving the Bi-Ordinal Hilfer Derivative
Karimov E.T. Tokmagambetov N.E. Usmonov D.A.
September 2024Springer
Cybernetics and Systems Analysis
2024#60Issue 5799 - 809 pp.
The authors have proved a unique solvability of an inverse-initial problem for a time-fractional degenerate partial differential equation. Using a method of separation of variables, they obtained the Cauchy problem for fractional differential equation involving the bi-ordinal Hilfer derivative in time-variable. The authors present the solution to this Cauchy problem in an explicit form via the Kilbas–Saigo function. Further, using the upper and lower bounds of the function, they prove uniform convergence of infinite series corresponding to the solution of the formulated inverse-initial problem.
bi-ordinal Hilfer operator , degenerate PDE , inverse-initial problem , Kilbas–Saigo function
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Fergana State University, Fergana, Uzbekistan
Centre de Recerca Matemática Cerdanyola del Vallés (Barcelona), Barcelona, Spain
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Fergana State University
Centre de Recerca Matemática Cerdanyola del Vallés (Barcelona)
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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