Solutions of systems with two-terms fractional difference operators. (English) Zbl 1276.39004
Mitkowski, Wojciech (ed.) et al., Advances in the theory and applications of non-integer order systems. 5th conference on non-integer order calculus and its applications, Cracow, Poland, July 4–5, 2013. Cham: Springer (ISBN 978-3-319-00932-2/hbk; 978-3-319-00933-9/ebook). Lecture Notes in Electrical Engineering 257, 183-189 (2013).
Summary: Systems with generalized two-terms fractional difference operators are discussed. By the choice of a certain kernel, these operators can be reduced to the standard fractional integrals and derivatives. We study existence of solutions to such systems.
For the entire collection see [Zbl 1271.93002].
For the entire collection see [Zbl 1271.93002].
MSC:
| 39A20 | Multiplicative and other generalized difference equations |
| 39A70 | Difference operators |
| 26A33 | Fractional derivatives and integrals |
References:
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