Препринт

Non-local initial problem for second order time-fractional and\n space-singular equation

Erkinjon KarimovInstitute of Mathematics National University of Uzbekistan Tashkent , 100125 UzbekistanM. O. MamchuevDepartment of Theoretical and Mathematical Physics Institute of Applied Mathematics and Automation Shortanova str. 89-A , Nalchik , 360000 Kabardino- Balkar Republic RussiaMichael RuzhanskyDepartment of Mathematics Imperial College London 180 Queen's Gate , London , SW7 2AZ United Kingdom

arXiv (Cornell University)repository2017

ABI

Аннотация

In this work, we consider an initial problem for second order partial\ndifferential equations with Caputo fractional derivatives in the time-variable\nand Bessel operator in the space-variable. For non-local boundary conditions,\nwe present a solution of this problem in an explicit form representing it by\nthe Fourier-Bessel series. The obtained solution is written in terms of\nmultinomial Mittag-Leffler functions and first kind Bessel functions.\n

Темы

Differential Equations and Boundary Problems Fractional Differential Equations Solutions Differential Equations and Numerical Methods

Идентификаторы

DOI: 10.48550/arxiv.1701.01904

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