Direct And Inverse Cauchy Problems For Generalized Space-Time Fractional Differential Equations
Restrepo J.E. Suragan D.
July 2021Khayyam Publishing
Advances in Differential Equations
2021#26Issue 7-8305 - 339 pp.
In this paper, explicit solutions of a class of generalized space-time fractional Cauchy problems with time-variable coefficients are given. The representation of a solution involves kernels given by convergent infinite series of fractional integro-differential operators, which can be extensively and efficiently applied for analytic and computational goals. Time-fractional operators of complex orders with respect to a given function are used. Further, we study inverse Cauchy problems of finding time dependent coefficients for fractional wave and heat type equations, which involve the explicit representation of the solution of the direct Cauchy problem and a recent method to recover variable co-efficients for the considered inverse problems. Concrete examples and particular cases of the obtained results are discussed
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Department of Mathematics, Nazarbayev University, Kazakhstan
Institute of Mathematics, University of Antioquia, Colombia
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics
Institute of Mathematics
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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