Exact Solutions for the Conformable Space-Time Fractional Zeldovich Equation with Time-Dependent Coefficients
The aim of this paper is to improve a sub-equation method to solve the space-time fractional Zeldovich equation with time-dependent coefficients involving the conformable fractional derivative. As result, we obtain three families of solutions including the hyperbolic, trigonometric, and rational sol...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2020/9312830 |
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| _version_ | 1832568552918351872 |
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| author | Sami Injrou |
| author_facet | Sami Injrou |
| author_sort | Sami Injrou |
| collection | DOAJ |
| description | The aim of this paper is to improve a sub-equation method to solve the space-time fractional Zeldovich equation with time-dependent coefficients involving the conformable fractional derivative. As result, we obtain three families of solutions including the hyperbolic, trigonometric, and rational solutions. These solutions may be helpful to explain several phenomena in chemistry, including the combustion process. The study shows that the used method is effective and reliable and can be utilized as a substitution to construct new solutions of different types of nonlinear conformable fractional partial differential equations (NFPDEs) with variable coefficients. |
| format | Article |
| id | doaj-art-25e5a365708e46cc878be50923919c9d |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-25e5a365708e46cc878be50923919c9d2025-02-03T00:58:45ZengWileyInternational Journal of Differential Equations1687-96431687-96512020-01-01202010.1155/2020/93128309312830Exact Solutions for the Conformable Space-Time Fractional Zeldovich Equation with Time-Dependent CoefficientsSami Injrou0Department of Mathematics, Faculty of Sciences, Tishreen University, Lattakia, SyriaThe aim of this paper is to improve a sub-equation method to solve the space-time fractional Zeldovich equation with time-dependent coefficients involving the conformable fractional derivative. As result, we obtain three families of solutions including the hyperbolic, trigonometric, and rational solutions. These solutions may be helpful to explain several phenomena in chemistry, including the combustion process. The study shows that the used method is effective and reliable and can be utilized as a substitution to construct new solutions of different types of nonlinear conformable fractional partial differential equations (NFPDEs) with variable coefficients.http://dx.doi.org/10.1155/2020/9312830 |
| spellingShingle | Sami Injrou Exact Solutions for the Conformable Space-Time Fractional Zeldovich Equation with Time-Dependent Coefficients International Journal of Differential Equations |
| title | Exact Solutions for the Conformable Space-Time Fractional Zeldovich Equation with Time-Dependent Coefficients |
| title_full | Exact Solutions for the Conformable Space-Time Fractional Zeldovich Equation with Time-Dependent Coefficients |
| title_fullStr | Exact Solutions for the Conformable Space-Time Fractional Zeldovich Equation with Time-Dependent Coefficients |
| title_full_unstemmed | Exact Solutions for the Conformable Space-Time Fractional Zeldovich Equation with Time-Dependent Coefficients |
| title_short | Exact Solutions for the Conformable Space-Time Fractional Zeldovich Equation with Time-Dependent Coefficients |
| title_sort | exact solutions for the conformable space time fractional zeldovich equation with time dependent coefficients |
| url | http://dx.doi.org/10.1155/2020/9312830 |
| work_keys_str_mv | AT samiinjrou exactsolutionsfortheconformablespacetimefractionalzeldovichequationwithtimedependentcoefficients |