An Expansion Iterative Technique for Handling Fractional Differential Equations Using Fractional Power Series Scheme

Keywords

Mathematics, Differentiable function, Power series, Convergent series, Series (stratigraphy)

References

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Cited by

• Approximate Series Solution of Nonlinear, Fractional Klein-Gordon Equations Using Fractional Reduced Differential Transform MethodEman Abuteen, Asad Freihat, Mohammed Al‐Smadi — 2016
• Fitted Reproducing Kernel Method for Solving a Class of Third-Order Periodic Boundary Value ProblemsAsad Freihat, Radwan Abu-Gdairi, Hammad Khalil — 2016
• Numerical Multistep Approach for Solving Fractional Partial Differential EquationsMohammed Al‐Smadi, Asad Freihat, Hammad Khalil — 2017
• Numerical method for solving second-order fuzzy boundary value problems by using the RPSMMazen Al Jazazi — 2016
• Adaptation of Taylor's formula for solving system of differential equationsNourah Nizar AlRasheed — 2016
• A reliable numerical method for solving a certain class of singular initial value problems using reproducing kernel algorithmQasem Al-Haj Abdullah, Mohammed Al‐Smadi, Radwan Abu-Gdairi — 2017
• Analytical solutions for systems of Fredholm IDEs by using modified Taylor's optimizationMohammad H. Aloroud — 2017
• Computational Optimization of Residual Power Series Algorithm for Certain Classes of Fuzzy Fractional Differential EquationsMohammad Alaroud, Mohammed Al‐Smadi, Rokiah Rozita Ahmad — 2018
• Simulation as an alternative to linear programming of human T-cell lymphotropic virus I (HTLV-I) model infection of CD4+ T-cellsMohammed Alabedalhadi — 2018
• The optimal solutions to nonlinear programming model using fractional gradientMohammed Alabedalhadi, Abeer Adel Al-nana — 2018
• Solution of Fractional SIR Epidemic Model Using Residual Power Series MethodShatha Hasan, Ayat Al-Zou'bi, Asad Freihet — 2019
• Applications of fractional power series approach in solving fractional Volterra integro-differential equationsSaleh Alshammari, Mohammed Al‐Smadi, Ishak Hashim — 2019
• Numerical Investigation to Fuzzy Volterra Integro-Differential Equations via Residual Power Series MethodMohammad Alshammari, Mohammed Al‐Smadi, Ishak Hashim — 2020
• Solving for the random component time-fractional partial differential equations with the new Sumudu transform iterative methodHalil Anaç, Mehmet Merdan, Tülay Kesemen — 2020
• NUMERICAL MODELING OF COUPLED PARTIAL DIFFERENTIAL EQUATIONS USING RESIDUAL ERROR FUNCTIONSIryna Komashynska — 2020
• THE NEW SUMUDU TRANSFORM ITERATIVE METHOD FOR STUDYINGTHE RANDOM COMPONENT TIME-FRACTIONAL KLEIN-GORDONEQUATIONMehmet Merdan, Halil Anaç, Tülay Kesemen — 2019
• On the approximate numerical solutions of fractional heat equation with heat source and heat lossHamı Gündoğdu, Ömer Faruk Gözükızıl — 2021
• A Novel Numerical Approach in Solving Fractional Neutral Pantograph Equations via the ARA Integral TransformAliaa Burqan, Rania Saadeh, Ahmad Qazza — 2021
• Approximate analytical solution of time-fractional non-linear heat equation via fractional power series methodShuxian Deng, Xinxin Ge — 2022
• Analytical Approximate Solutions of Nonlinear Fractional-Order Nonhomogeneous Differential EquationsFalade Kazeem Iyanda, Adesina K. Adio, Nuru Muazu — 2022

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