2021
DOI: 10.1155/2021/7066398
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Analytical Solutions for the Equal Width Equations Containing Generalized Fractional Derivative Using the Efficient Combined Method

Abstract: In this paper, the efficient combined method based on the homotopy perturbation Sadik transform method  (HPSTM) is applied to solve the physical and functional equations containing the Caputo–Prabhakar fractional derivative. The mathematical model of this equation of order μ ∈ 0,1 … Show more

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“…With the maturity of the development of fractional calculus theory, fractional differential equations have become research hot-spots for many mathematicians, and appear naturally in various fields such as fluid mechanics, fractals, environmental science, modeling and control theory, signal processing, bioengineering and biomedical science [1][2][3][4]. Due to the nonlocal properties of fractional derivatives, fractional differential equations can better describe complex processes and systems with genetic effects and memory.…”
Section: Introductionmentioning
confidence: 99%
“…With the maturity of the development of fractional calculus theory, fractional differential equations have become research hot-spots for many mathematicians, and appear naturally in various fields such as fluid mechanics, fractals, environmental science, modeling and control theory, signal processing, bioengineering and biomedical science [1][2][3][4]. Due to the nonlocal properties of fractional derivatives, fractional differential equations can better describe complex processes and systems with genetic effects and memory.…”
Section: Introductionmentioning
confidence: 99%