Search Results - "Applied mathematics and nonlinear sciences"

New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method by Baskonus, Haci Mehmet, Bulut, Hasan, Sulaiman, Tukur Abdulkadir

“…In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new hyperbolic function solutions…”
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A generalization of truncated M-fractional derivative and applications to fractional differential equations by İlhan, Esin, Kıymaz, İ. Onur

“…In this paper, our aim is to generalize the truncated M-fractional derivative which was recently introduced [Sousa and de Oliveira, A new truncated…”
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Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation by Yokuş, Asıf, Gülbahar, Sema

“…In this study, numerical solutions of the fractional Harry Dym equation are investigated. Linearization techniques are utilized for non-linear terms existing…”
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On the exact solutions to some system of complex nonlinear models by Sulaiman, Tukur Abdulkadir, Bulut, Hasan, Baskonus, Haci Mehmet

“…In this manuscript, the application of the extended sinh-Gordon equation expansion method to the Davey-Stewartson equation and the (2+1)-dimensional nonlinear…”
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Complete Solution For The Time Fractional Diffusion Problem With Mixed Boundary Conditions by Operational Method by Aghili, A.

“…In this study, we present some new results for the time fractional mixed boundary value problems. We consider a generalization of the Heat - conduction problem…”
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A modified invariant subspace method for solving partial differential equations with non-singular kernel fractional derivatives by Touchent, Kamal Ait, Hammouch, Zakia, Mekkaoui, Toufik

“…In this work, the well known invariant subspace method has been modified and extended to solve some partial differential equations involving Caputo-Fabrizio…”
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New Complex and Hyperbolic Forms for Ablowitz–Kaup–Newell–Segur Wave Equation with Fourth Order by Eskitaşçıoğlu, Esin İnan, Aktaş, Muhammed Bahadırhan, Baskonus, Haci Mehmet

“…Researching different solutions of nonlinear models has been interesting in different fields of science and application. In this study, we investigated…”
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Use of Quantum Differential Equations in Sonic Processes by Gençoğlu, Muharrem Tuncay, Agarwal, Praveen

“…Emerging as a new field, quantum computation has reinvented the fundamentals of Computer Science and knowledge theory in a manner consistent with quantum…”
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Fractional Calculus involving (p, q)-Mathieu Type Series by Kaur, Daljeet, Agarwal, Praveen, Rakshit, Madhuchanda, Chand, Mehar

“…Aim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized ( , )-Mathieu type…”
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New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method by Durur, Hülya, Kurt, Ali, Tasbozan, Orkun

“…This paper proposes obtaining the new wave solutions of time fractional sixth order nonlinear Equation (KdV6) using sub-equation method where the fractional…”
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Application of modified wavelet and homotopy perturbation methods to nonlinear oscillation problems by Selvi, M. Salai Mathi, Rajendran, L.

“…In this paper, an accurate and efficient Chebyshev wavelet-based technique is successfully employed to solve the nonlinear oscillation problems. Numerical…”
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QSPR Analysis of certain Distance Based Topological Indices by Shirakol, Shailaja, Kalyanshetti, Manjula, Hosamani, Sunilkumar M.

“…In QSAR/QSPR study, topological indices are utilized to guess the bioactivity of chemical compounds. In this paper, we study the QSPR analysis of selected…”
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Periodic orbit in the frame work of restricted three bodies under the asteroids belt effect by Abozaid, Ahmed A., Selim, H. H., Gadallah, Kamel A. K., Hassan, I. A., Abouelmagd, Elbaz I.

“…In this paper, we present a comprehensive analytical study on the perturbed restricted three bodies problem. We formulate the equations of motion of this…”
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Design of Morlet wavelet neural network to solve the non-linear influenza disease system by Sabir, Zulqurnain, Umar, Muhammad, Raja, Muhammad Asif Zahoor, Fathurrochman, Irwan, Shorman, Samer M.

“…In this study, the solution of the non-linear influenza disease system (NIDS) is presented using the Morlet wavelet neural networks (MWNNs) together with the…”
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Optical solitons to the fractional Schrödinger-Hirota equation by Sulaiman, Tukur Abdulkadir, Bulut, Hasan, Atas, Sibel Sehriban

“…This study reaches the dark, bright, mixed dark-bright, and singular optical solitons to the fractional Schr dinger-Hirota equation with a truncated…”
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Dynamics of infectious diseases: A review of the main biological aspects and their mathematical translation by Trejos, Deccy Y., Valverde, Jose C., Venturino, Ezio

“…In this paper, the main biological aspects of infectious diseases and their mathematical translation for modeling their transmission dynamics are revised. In…”
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New Analytical Solutions of Conformable Time Fractional Bad and Good Modified Boussinesq Equations by Durur, Hülya, Tasbozan, Orkun, Kurt, Ali

“…The main purpose of this article is to obtain the new solutions of fractional bad and good modified Boussinesq equations with the aid of auxiliary equation…”
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Computation of certain topological coindices of graphene sheet and C4C8(S) nanotubes and nanotorus by Berhe, Melaku, Wang, Chunxiang

“…Topological indices are widely used for quantitative structure-activity relationship (QSAR) and quantitative structure-property relationship (QSPR)…”
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Analytical and approximate solutions of Fractional Partial Differential-Algebraic Equations by Günerhan, Hatıra, Çelik, Ercan

“…In this paper, we have extended the Fractional Differential Transform method for the numerical solution of the system of fractional partial…”
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On Solutions of Fractional order Telegraph Partial Differential Equation by Crank-Nicholson Finite Difference Method by Modanli, Mahmut, Akgül, Ali

“…The exact solution is calculated for fractional telegraph partial differential equation depend on initial boundary value problem. Stability estimates are…”
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