Abstract
Direct and inverse source problems of a fractional diffusion equation with regularized Caputo-like counterpart of a hyper-Bessel differential operator are considered. Solutions to these problems are constructed based on appropriate eigenfunction expansions and results on existence and uniqueness are established. To solve the resultant equations, a solution to such kind of non-homogeneous fractional differential equation is also presented.
Original language | English |
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Pages (from-to) | 200-219 |
Number of pages | 20 |
Journal | Fractional Calculus and Applied Analysis |
Volume | 21 |
Issue number | 1 |
DOIs | |
Publication status | Published - Feb 23 2018 |
Keywords
- Erdélyi-Kober fractional order operators
- Mittag-Leffler functions
- fractional differential equations
- hyper-Bessel operators
- initial boundary value problems
- inverse problems
- series solutions
ASJC Scopus subject areas
- Analysis
- Applied Mathematics