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- Title
USING SHEHU INTEGRAL TRANSFORM TO SOLVE FRACTIONAL ORDER CAPUTO TYPE INITIAL VALUE PROBLEMS.
- Authors
Qureshi, Sania; Kumar, Prem
- Abstract
In the present research analysis, linear fractional order ordinary differential equations with some defined condition (s) have been solved under the Caputo differential operator having order α > 0 via the Shehu integral transform technique. In this regard, we have presented the proof of finding the Shehu transform for a classical nth order integral of a piecewise continuous with an exponential order function which leads towards devising a theorem to yield exact analytical solutions of the problems under investigation. Varying fractional types of problems are solved whose exact solutions can be compared with solutions obtained through existing transformation techniques including Laplace and Natural transforms.
- Subjects
INTEGRAL transforms; INITIAL value problems; ORDINARY differential equations; LAPLACE transformation; DIFFERENTIAL operators; LINEAR orderings; EXPONENTIAL functions
- Publication
Journal of Applied Mathematics & Computational Mechanics, 2019, Vol 18, Issue 2, p75
- ISSN
2299-9965
- Publication type
Article
- DOI
10.17512/jamcm.2019.2.07