Browsing by Author "İnç, Mustafa"
Now showing items 1-7 of 7
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An approximate solution of fractional cable equation by homotopy analysis method
İnç, Mustafa; Cavlak, Ebru; Bayram, Mustafa (SpringerOpen, 2014-03-16)In this article, the homotopy analysis method (HAM) is applied to solve the fractional cable equation by the Riemann-Liouville fractional partial derivative. This method includes an auxiliary parameter h which provides a ... -
Dark-Bright Optical Soliton and Conserved Vectors to the Biswas-Arshed Equation With Third-Order Dispersions in the Absence of Self-Phase Modulation
Aliyu, Aliyu Ise; İnç, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru; Bayram, Mustafa (FRONTIERS MEDIA SA, AVENUE DU TRIBUNAL FEDERAL 34, LAUSANNE, CH-1015, SWITZERLAND, 2019)The form-I version of the new celebrated Biswas-Arshed equation is studied in this work with the aid of complex envelope ansatz method. The equation is considered when self-phase is absent and velocity dispersion is ... -
New Soliton Solutions of the Fractional Regularized Long Wave Burger Equation by Means of Conformable Derivative
Körpınar, Zeliha; Tchier, Fairouz; İnç, Mustafa; Ragoub, Lakhdar; Bayram, Mustafa (ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2019)In this paper, the practice of the extended direct algebraic method (EDAM) is used to solve fractional Regularized Long Wave Burgers (RLW-Burgers) equation by means of the conformable derivative. Firstly, this fractional ... -
New Solutions of the Fractional Boussinesq-like Equations by Means of Conformable Derivatives
Körpınar, Zeliha; Tchier, Fairouz; İnç, Mustafa; Ragoub, Lakhdar; Bayram, Mustafa (ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2019)In this paper, the process of the extended direct algebraic method (EDAM) is used to solve two fractional Boussinesq-like equations by means of conformable derivatives. Firstly, these fractional equations are changed into ... -
Soliton Solutions for Kudryashov-Sinelshchikov Equation
Yusuf, Abdullahi; İnç, Mustafa; Bayram, Mustafa (YILDIZ TECHNICAL UNIV, YILDIZ CAMPUS, BESIKTAS, ISTANBUL, 34349, TURKEY, 2019)This paper acquires the closed form solutions for the Kudryashov-Sinelshchikov (KS) equation. The Riccati-Bernoulli (RB) sub-ODE method is used to acquire such solitons whose structure include trigonmetric, hyperbolic and ... -
Symmetry Properties and Exact Solutions of the Time Fractional Kolmogorov-Petrovskii-Piskunov Equation
Hashemi, M. S.; İnç, Mustafa; Bayram, Mustafa (SOC MEXICANA FISICA, APARTADO POSTAL 70-348, COYOACAN 04511, MEXICO, 2019)In this paper, the time fractional Kolmogorov-Petrovskii-Piskunov (TFKPP) equation is analyzed by means of Lie symmetry approach. The TFKPP is reduced to ordinary differential equation of fractional order via the attained ... -
Theory and Application for the Time Fractional Gardner Equation with Mittag-Leffler Kernel
Körpınar, Zeliha; İnç, Mustafa; Baleanu, Dumitru; Bayram, Mustafa (TAYLOR & FRANCIS LTD, 2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND, 2019)In this work, the time fractional Gardner equation is presented as a new fractional model for Atangana-Baleanu fractional derivative with Mittag-Leffler kernel. The approximate consequences are analysed by applying a ...
