Two reliable techniques for the analytical study of conformable time-fractional Phi-4 equation
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DOI: 10.1007/s11082-017-1288-9
Abstract: In this article, two newly developed methods, namely the exp$$(-~\Phi (\xi ))$$(-Φ(ξ)) method and the modified Kudryashov method are used to extract the exact solutions of the nonlinear fractional Phi-4 equation in the sense of… read more here.
Keywords: conformable time; time fractional; phi equation; fractional phi ... See more keywords
New Numerical Results for the Time-Fractional Phi-Four Equation Using a Novel Analytical Approach
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DOI: 10.3390/sym12030478
Abstract: This manuscript investigates the fractional Phi-four equation by using q -homotopy analysis transform method ( q -HATM) numerically. The Phi-four equation is obtained from one of the special cases of the Klein-Gordon model. Moreover, it… read more here.
Keywords: phi four; equation using; four equation; fractional phi ... See more keywords
Numerical Investigation of Time-Fractional Phi-Four Equation via Novel Transform
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DOI: 10.3390/sym15030687
Abstract: This paper examines two methods for solving the nonlinear fractional Phi-four problem with variable coefficients. One of the distinct states of the Klein–Gordon model yields the Phi-four equation. It is also used to simulate the… read more here.
Keywords: transform; four equation; phi four; fractional phi ... See more keywords