Izsák, Ferenc and Szekeres, Béla (2019) An Iterative Method Based on Fractional Derivatives for Solving Nonlinear Equations. In: Progress in Industrial Mathematics at ECMI 2018. Mathematics in Industry, 30 . Springer Nature Switzerland AG, pp. 337-342.
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Abstract
The theory of fractional order derivatives are almost as old as the integer-order [5]. There are many applications, for example in physics [1], [2], [6], finance [8], [9] or biology [3]. Our aim is not to use fractional order operators to modeling such things, we only will use them as a device to prove a theoretical mathematical statement. In this work our goal is to find a solution numerically for the equation A(u) = f . If we assume that u is time-dependent, then one can do this by finding a stationary solution of the equation ¶tu(t) =
| Item Type: | Book Section |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis |
| Depositing User: | Ferenc Izsák |
| Date Deposited: | 16 Jan 2020 07:26 |
| Last Modified: | 16 Jan 2020 07:26 |
| URI: | http://real.mtak.hu/id/eprint/105477 |
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