PRABHAKAR-TYPE LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS
Fernandez A. Restrepo J.E. Suragan D.
1 September 2022Khayyam Publishing
Differential and Integral Equations
2022#35Issue 9-10581 - 610 pp.
Linear differential equations with variable coefficients and Prabhakar-type operators featuring Mittag-Leffler kernels are solved. In each case, the unique solution is constructed explicitly as a convergent infinite series involving compositions of Prabhakar fractional integrals. We also extend these results to Prabhakar operators with respect to functions. As an important illustrative example, we consider the case of constant coefficients, and give the solutions in a more closed form by using multivariate Mittag-Leffler functions.
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Department of Mathematics, Eastern Mediterranean University, via Mersin-10, Cyprus
Department of Mathematics, Nazarbayev University, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Building S8, Ghent, B 9000, Belgium
Department of Mathematics
Department of Mathematics
Department of Mathematics: Analysis
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