Yazar "İnç, Mustafa" için listeleme
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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 ... -
Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations
Hosseini, Kamyar; İnç, Mustafa; Shafiee, Mahmoud; Ilie, Mousa; Shafaroody, A.; Yusuf, Abdelrhman; Bayram, Mustafa (ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2020)The key purpose of the present research is to derive the exact solutions of nonlinear water wave equations (NLWWEs) in oceans through the invariant subspace scheme (ISS). In this respect, the NLWWEs which describe specific ... -
New optical solitons for Biswas-Arshed equation with higher order dispersions and full nonlinearity
Körpınar, Zeliha; İnç, Mustafa; Bayram, Mustafa; Hashemi, Mir Sajjad (ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2020)In this paper, the extended Jacobi's elliptic function approach is used to solve the Biswas–Arshed equation in two different types. This method reveals several optical solitons including traveling wave solutions. The ... -
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 ... -
On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method
Hashemi, Mir Sajjad; İnç, Mustafa; Parto-Haghighi, Mohammad; Bayram, Mustafa (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2019)In this work we offer a robust numerical algorithm based on the Lie group to solve the timefractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable ξ to convert the related variable u(x, t) ... -
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, Mir Sajjad; 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 system of fractional Burger equations with Mittag leffler kernel
Körpınar, Zeliha; İnç, Mustafa; Bayram, Mustafa (ELSEVIER SCIENCE INC, STE 800, 230 PARK AVE, NEW YORK, NY 10169, 2020)In this work, the system of fractional Burger differential equations are presented as a new fractional model for Atangana–Baleanu fractional derivative with Mittag leffler kernel. The approximate consequences are analysed ... -
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 ... -
Two reliable methods for solving the forced convection in a porous-saturated duct
Hashemi, Mir Sajjad; İnç, Mustafa; Seyfi, Negar; Bayram, Mustafa (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2020)In this paper, the solution of nonlinear forced convection in a porous saturable duct is numerically approximated by two different approaches. The first one is a Lie group integrator based on the group SL2(R), whose ...
