Exact solutions of fractional partial differential equation systems with conformable derivative
| Autor: | Ali Kurt, Ozan Özkan |
|---|---|
| Přispěvatelé: | Selçuk Üniversitesi, Fen Fakültesi, Matematik Bölümü, Özkan, Ozan. |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
fractional integro-differential equation
Double Laplace transform conformable fractional derivative conformable fractional integral Partial differential equation Fractional integro-differential equation General Mathematics Mathematical analysis Conformable fractional integral Conformable fractional derivative Conformable matrix chemistry.chemical_compound chemistry Derivative (chemistry) Mathematics |
| Popis: | 8th International Conference on Mathematical Analysis, Differential Equation and Applications (MADEA) -- JUN 17-23, 2018 -- Cholpon Ata, KYRGYZSTAN WOS: 000496192400005 Main goal of this paper is to have the new exact solutions of some fractional partial differential equation systems (FPDES) in conformable sense. The definition of conformable fractional derivative (CFD) is similar to the limit based definition of known derivative. This derivative obeys both rules which other popular derivatives do not satisfy such as derivative of the quotient of two functions, the derivative product of two functions, chain rule and etc. By using conformable derivative it is seen that the solution procedure for (PDES) is simpler and more efficient. Kyrgyz Turkish Manas Univ, Mersin Univ, NAS Ukraine, Inst Math, Taras Shevchenko Natl Univ Kyiv |
| Databáze: | OpenAIRE |
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