• A ROBUST NUMERICAL METHOD TO FIND THE SOLUTIONS OF TIME-FRACTIONAL KLEIN-CORDON EQUATION 

  Bunay Guaman, Jorge؛ Shather, Akram؛ Abdul Hussein, Abbas Hameed؛ Diaa, Nabaa؛ khalid, Mohammed؛ Abdul Kareem, Nihad؛ Sreseh, Saleh؛ Fialos, Juan (University of Tabriz, 2025-03-01)

  Ara Awhant meriamrihod is poposed to approwince the a of time-fractional Klein-Gordon quation (TFKC) which based on the Lowenta The racted tod namely nady the fictitious tane zabegration metho (PTIM) omerte the undetermined ...

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• On the dynamics of newly generated analytical solutions and conserved vectors of a generalized 3D KP-BBM equation 

  Khalique, Chaudry؛ Adeyemo, Oke؛ Gaxela, Yanga (University of Tabriz, 2025-03-01)

  This paper examines a high-dimensional non-linear partial differential equation called the generalized Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation exists in three dimensions. The Lie symmetry analysis of ...

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• Dynamical systems in product Lukasiewicz semirings 

  Molkhasi, Ali؛ Ezzati, Mahsa (University of Tabriz, 2025-03-01)

  This paper studies dynamical systems in product Lukasiewicz semirings and we generalize the results of Markechovaand Riecan concerning the logical entropy. Also, the notion of logical entropy of a product Lukasiewicz ...

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• Numerical solution of different population balance models using operational method based on Genocchi polynomials 

  Lotfi, Mahmoud (University of Tabriz, 2025-03-01)

  Genocchi polynomials have exciting properties in the approximation of functions. Their derivative and integral calculations are simpler than other polynomials and, in practice, they give better results with low degrees. ...

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• Exploring high-frequency waves and soliton solutions of fluid turbulence through relaxation medium modeled by Vakhnenko-Parkes equation 

  Mabrouk, Samah؛ Mahdy, Mahy؛ Rashed, Ahmed؛ Saleh, Rasha (University of Tabriz, 2025-03-01)

  One of the most important natural phenomena that has been studied extensively in engineering, oceanography,meteorology, and other fields is called fluid turbulence (FT). FT stands for irregular flow of fluid. Scientists ...

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• Multi-Step DTM simulation of Transesterification reactions model 

  Esfandian, Hossein؛ Rezazadeh, Hadi؛ Rezazadeh, Mohammadreza (University of Tabriz, 2025-03-01)

  The multi-step differential transform method (DTM) adopted from the standard DTM is employed in this case study to solve a model of the transesterification reaction. The DTM is considered in a sequence of time intervals. ...

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• Fitted mesh cubic spline tension method for singularly perturbed delay differential equations with integral boundary condition 

  Regal, Akhila؛ Kumar S, Dinesh (University of Tabriz, 2025-03-01)

  The cubic spline in tension method is taken into consideration to solve the singularly perturbed delay differential equations of convection diffusion type with integral boundary condition. Simpson's 1/3 rule is used to the ...

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• Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations 

  Aydın, Zeynep؛ Taşcan, Filiz (University of Tabriz, 2025-03-01)

  In this article, with the help of the new Kudryashov method, we examine general solutions to the (2+1)-dimensional Sawada-Kotera equation (SKE) and Kaup-Kupershmidt (KK) equation. Using Maple, a symbolic computing application, ...

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• $SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis and numerical simulation 

  Gholami, Hossein؛ Gachpazan, Morteza؛ Erfanian, Majid (University of Tabriz, 2025-03-01)

  In this paper, we developed a $SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis. In this article, the dynamics of COVID-19 are divided into six compartments: susceptible, exposed, asymptomatically ...

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• Highly accurate spline collocation technique for the numerical solution of generalized Burgers-Fisher’s problem 

  Kukreja, Vijay Kumar؛ Shallu (University of Tabriz, 2025-03-01)

  This study employs the cubic B-spline collocation strategy to address the solution challenges posed by the nonlinear generalized Burgers-Fisher's equation (gBFE), with some improvisation. This approach incorporates refinements ...

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• Existence of solutions of Caputo fractional integro-differential equations 

  Kazemi, Manochehr (University of Tabriz, 2025-03-01)

  In this paper, by using the techniques of measures of non-compactness and the Petryshyn fixed point theorem, we investigate the existence of solutions of a Caputo fractional functional integro-differential equation and ...

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• Exploring novel solutions for the generalized q-deformed wave equation 

  Shehata, Ahmed S.؛ Raslan, Kamal؛ K. Ali, khalid (University of Tabriz, 2025-03-01)

  Our primary goal is to address the q-deformed wave equation, which serves as a mathematical framework for characterizing physical systems with symmetries that have been violated. By incorporating a q-deformation parameter, ...

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• Optimal control of fractional differential equations with interval uncertainty 

  Shokouhi, Tahereh؛ Allahdadi, Mahdi؛ Soradi zeid, Samaneh (University of Tabriz, 2025-03-01)

  The purpose of this paper is to obtain numerical solutions of fractional interval optimal control problems. To do so, first, we obtain a system of fractional interval differential equations through necessary conditions for ...

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• Integrated pests management and food security: A mathematical analysis 

  Ayoade, Abayomi؛ Thota, Srinivasarao (University of Tabriz, 2025-03-01)

  The basic necessities of life are food, shelter and clothing. Food is more necessary because the existence of life depends on food. In order to foster global food security, integrated pest management (IPM), an environmen ...

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• LQR technique based SMC design for a class of uncertain time-delay Conic nonlinear systems 

  Khaledi, Ghader؛ Mirhosseini-Alizamini, Seyed Mehdi؛ Ghamgosar, Mohammad (University of Tabriz, 2025-03-01)

  In this paper, the finite-time sliding mode controller design problem of a class of conic-type nonlinear systems with time-delays, mismatched external disturbance and uncertain coefficients is investigated. The time-delay ...

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• Modeling and simulation of COVID-19 disease dynamics via Caputo-Fabrizio fractional derivative 

  Bhatter, Sanjay؛ Bhatia, Bhamini؛ Kumawat, Sangeeta؛ Purohit, Sunil (University of Tabriz, 2025-03-01)

  The motive of this paper is to investigate the SEIQRD model of the COVID-19 outbreak in Indonesia with the help of a fractional modeling approach. The model is described by the nonlinear system of six fractional order ...

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• Numerical study of the non-linear time fractional Klein-Gordon equation using the Pseudo-spectral method 

  Mirzaei, Soheila؛ Shokri, Ali (University of Tabriz, 2025-03-01)

  This paper presents a numerical scheme for solving the non-linear time fractional Klein-Gordon equation. To approximate spatial derivatives, we employ the pseudo-spectral method based on Lagrange polynomials at Chebyshev ...

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• Numerical study of astrophysics equations using Bessel collocation methods of first Kind 

  Arora, Shelly؛ Bala, Indu (University of Tabriz, 2025-03-01)

  A hybrid computational procedure of Newton Raphson method and orthogonal collocation method have been applied to study the behavior of nonlinear astrophysics equations. The nonlinear Lane Emden equation has been discretized ...

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• Application of general Lagrange scaling functions for evaluating the approximate solution time-fractional diffusion-wave equations 

  Sabermahani, Sedigheh؛ Ordokhani, Yadollah؛ Agarwal, Praveen (University of Tabriz, 2025-03-01)

  This manuscript provides an efficient technique for solving time-fractional diffusion-wave equations using general Lagrange scaling functions (GLSFs). In GLSFs, by selecting various nodes of Lagrange polynomials, we get ...

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• A new approximate analytical method for solving some non-linear boundary value problems in Reaction-Diffusion model 

  Ananthaswamy, Vembu؛ Vijayalaskhmi, Venkatasubban؛ Anantha Jothi, Jeya (University of Tabriz, 2025-03-01)

  The applications of a Reaction-Diffusion boundary value problems are found in science, biochemical applications, and chemical applications. The Ananthaswamy-Sivasankari method (ASM) is employed to solve the considered ...

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