New theories and applications of tempered fractional differential equations
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DOI: 10.1007/s11071-021-06628-4
Abstract: In this paper, we develop theories, properties and applications of a new technique in tempered fractional calculus called the Tempered Fractional Natural Transform Method. This method can be used to solve a myriad of problems… read more here.
Keywords: fractional natural; tempered fractional; method; natural transform ... See more keywords
COMPARATIVE ANALYSIS OF NATURAL TRANSFORM DECOMPOSITION METHOD AND NEW ITERATIVE METHOD FOR FRACTIONAL FOAM DRAINAGE PROBLEM AND FRACTIONAL ORDER MODIFIED REGULARIZED LONG-WAVE EQUATION
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DOI: 10.1142/s0218348x20501248
Abstract: In this paper, a comparative study of natural transform decomposition method and new iterative method is presented. The proposed methods are tested upon nonlinear fractional order foam drainage pro... read more here.
Keywords: method new; iterative method; new iterative; transform decomposition ... See more keywords
Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives
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DOI: 10.1155/2021/9884027
Abstract: In this paper, we have studied the time-fractional Zakharov-Kuznetsov equation (TFZKE) via natural transform decomposition method (NTDM) with nonsingular kernel derivatives. The fractional derivative considered in Caputo-Fabrizio (CF) and Atangana-Baleanu derivative in Caputo sense (ABC).… read more here.
Keywords: time fractional; method; natural transform; fractional zakharov ... See more keywords
Natural Transform Decomposition Method for Solving Fractional-Order Partial Differential Equations with Proportional Delay
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DOI: 10.3390/math7060532
Abstract: In the present article, fractional-order partial differential equations with proportional delay, including generalized Burger equations with proportional delay are solved by using Natural transform decomposition method. Natural transform decomposition method solutions for both fractional and… read more here.
Keywords: method; transform decomposition; equations proportional; proportional delay ... See more keywords
Fractional Telegraph Equation and Its Solution by Natural Transform Decomposition Method
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DOI: 10.3390/sym11030334
Abstract: In this work, the natural transform decomposition method (NTDM) is applied to solve the linear and nonlinear fractional telegraph equations. This method is a combined form of the natural transform and the Adomian decomposition methods.… read more here.
Keywords: fractional telegraph; transform decomposition; decomposition method; natural transform ... See more keywords
Analytical Study of Fractional Epidemic Model via Natural Transform Homotopy Analysis Method
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DOI: 10.3390/sym14081695
Abstract: In this study, we present a new general solution to a rational epidemiological mathematical model via a recent intelligent method called the natural transform homotopy analysis method (NTHAM), which combines two methods: the natural transform… read more here.
Keywords: homotopy analysis; analysis method; natural transform; method ... See more keywords