Also, we have found out that the proposed modelsare very efficient and powerful techniques in finding approximate solutions forthe IBVP of fractional order in the conformable sense.
📌 3 Key Takeaways
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Objective & Hypothesis:In this work, we develop a formulation for the approximate-analytical solution offractional partial differential equations (PDEs) by using conformable fractionalderivative.
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Key Findings & Data:Firstly, we redefine the conformable fractional Adomiandecomposition method (CFADM) and conformable fractional modifiedhomotopy perturbation method (CFMHPM).
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Conclusion & Impact:Also, we have found out that the proposed modelsare very efficient and powerful techniques in finding approximate solutions forthe IBVP of fractional order in the conformable sense.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this work, we develop a formulation for the approximate-analytical solution offractional partial differential equations (PDEs) by using conformable fractionalderivative. Firstly, we redefine the conformable fractional Adomiandecomposition method (CFADM) and conformable fractional modifiedhomotopy perturbation method (CFMHPM). Then, we solve some initialboundary value problems (IBVP) by using the proposed methods, which cananalytically solve the fractional partial differential equations (FPDE). In order toshow the efficiencies of these methods, we have compared the numerical andexact solutions of the IBVP. Also, we have found out that the proposed modelsare very efficient and powerful techniques in finding approximate solutions forthe IBVP of fractional order in the conformable sense.
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Cite This Article
YAVUZ, M. (2022). Novel solution methods for initial boundary value problems of fractional order with conformable differentiation. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 8 - Sayı: 1, 1–7. https://ajindex.com/articles/440645
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