الطريقة شبه التحليلية المدمجة مع تحويلات لابلاس للخطوة الاولى لحل معادلة المصفوفات التفاضلية التباطؤية المربعة عندما يكون التباطؤ في الجزء المزعج

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Imran N, Khan RM, Qayyum M. Homotopy Analysis Method Using Jumarie’s Approach for Nonlinear Wave-Like Equations of Fractional-Order. IJEMD-M. 2023; 2(1): 1-11. https://doi.org/10.59790/2790-3257.1041.

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Adeyefa EO, Olanegan OO. Accurate Four-Step Hybrid Block Method for Solving Higher-Order Initial Value Problems. Baghdad Sci J. 2022; 19(4): 787-799. https://doi.org/10.21123/bsj.2022.19.4.0787.

Hussin CHC, Azmi A, Md Ismai AI, Kilicman A, Hashim I. Approximate Analytical Solutions of Bright Optical Soliton for Nonlinear Schrödinger Equation of Power Law Nonlinearity. Baghdad Sci J. 2021; 18(1(Suppl.)): 836-845. https://doi.org/10.21123/bsj.2021.18.1(Suppl.).0836.

Masood S Hajira, Khan H, Shah R, Mustafa S, Khan Q, et al. A New Modified Technique of Adomian Decomposition Method for Fractional Diffusion Equations with Initial Boundary Conditions. J Funct Spaces. 2022; 2022: 1-12. https://doi.org/10.1155/2022/6890517.

Aljhani S, Md Noorani MS, Alomari AK. Numerical Solution of Fractional-Order HIV Model Using Homotopy Method. Discrete Dyn Nat Soc. 2020; 2020: 1-13. https://doi.org/10.1155/2020/2149037.

Alao S, Oderinu RA, Akinpelu FO, Akinola EI. Homotopy Analysis Decomposition Method for the Solution of Viscous Boundary Layer Flow Due to a Moving Sheet. J Adv Math. Comp Sci. 2019; 32(5): 1-7. https://doi.org/10.9734/jamcs/2019/v32i530157.

AL-Jawary MA, Rhahdi GH, Ravnik J. Boundary-domain Integral Method and Homotopy Analysis Method for Systems of Nonlinear Boundary Value Problems in Environmental Engineering. Arab J Basic Appl Sci. 2020; 27(1): 121-133. https://doi.org/10.1080/25765299.2020.1728021.

Omar HA. An Integrated Genetic Algorithm and Homotopy Analysis Method to Solve Nonlinear Equation Systems. Math Probl Eng. 2021; 2021: 1-14. https://doi.org/10.1155/2021/5589322.

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Fadugba SE, Edeki SO. Homotopy Analysis Method for Fractional Barrier Option PDE. 2nd International Conference on Recent Trends in Applied Research (ICoRTAR 2021) October 08-09, 2021, Virtual, Nigeria J Phys.: Conf Ser. 2022; 2199: 012008. https://doi.org/10.1088/1742-6596/2199/1/012008 .

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Fadugba SE. Homotopy Analysis Method and its Application in the Valuation of European call Options with Time-Fractional Black-scholes Equation. Chaos Solit. 2020; 141(110351): 289-303. https://doi.org/10.1016/j.chaos.2020.110351.