Results 51 to 60 of about 388,923 (185)
Riemann-Liouville derivative and Caputo derivative for solving Extraordinary differential equation by homotopy analysis method [PDF]
, 2016 The purpose of this paper is to study Riemann-Liouville derivative and Caputo derivative by homotopy analysis method to solve an Extraordinary differential equation.
Jasim, Abeer Majeed
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On Extended Caputo Fractional Derivative Operator
, 2017 The main objective of this present paper is to introduce further extension of extended Caputo fractional derivative operator and establish the extension of an extended fractional derivative of some known elementary functions.
Gauhar Rahman +2 more
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High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations (II)
Fractional Calculus and Applied Analysis, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hefeng Li, Jianxiong Cao, Changpin Li
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Journal of the Nigerian Society of Physical Sciences, 2023 Visceral leishmaniosis is one recent example of a global illness that demands our best efforts at understanding. Thus, mathematical modeling may be utilized to learn more about and make better epidemic forecasts. By taking into account the Caputo and Caputo-Fabrizio derivatives, a frictional model of visceral leishmaniosis was mathematically examined ...
Dalal Khalid Almutairi +5 more
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Advances in Mathematical Physics, 2013 We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the ...
Mohsen Alipour, Dumitru Baleanu
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Mathematical Modelling and Analysis, 2017 This paper investigates fractional order Barbalat’s lemma and its applications for the stability of fractional order nonlinear systems with Caputo fractional derivative at first.
Fei Wang, Yongqing Yang
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The Error Incurred in Using the Caputo-Derivative Laplace-Transform
, 2009 This paper considers the initialization of fractional-order differential equations. The initialization responses obtained using the Caputo derivative are compared with the exact initialization responses from the Riemann-Liouville definition of the ...
Tom T. Hartley, Carl F. Lorenzo
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Approximations for the Caputo derivative (II)
, 2016 In the present paper we use the expansion formula of the polylogarithm function to construct approximations of the Caputo derivative which are related to the midpoint approximation of the integral in the definition of the Caputo derivative. The asymptotic expansion formula of the Riemann sum approximation of the beta function and the first terms of the
Dimitrov, Yuri +2 more
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The solution of the wave-diffusion equation by a caputo derivative-based finite element method formulation [PDF]
, 2023 A Finite Element Method approach is presented for the solution of the two-dimensional wave-diffusion equation. The fractional time derivative is considered as a Caputo derivative.
M. Arndt +11 more
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