A note on fractional electrodynamics

Nasrolahpour, Hosein

doi:10.1016/j.cnsns.2013.01.005

Cited by 79 publications

(41 citation statements)

References 17 publications

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“…Table 4 Numerical study regard to in terms of absolute error obtained by -HATM for system considered in the Equation (31) with diverse and when and at distinct value of . Table 5 Comparative study between CFRDTM [15] and -HATM for and at and with diverse and .…”

Section: Coupled Fractional Reduced Differential Transform Methods (Cfmentioning

confidence: 99%

Numerical simulation for fractional Jaulent–Miodek equation associated with energy-dependent Schrödinger potential using two novel techniques

Veeresha

Prakasha

Magesh³

et al. 2019

Waves in Random and Complex Media

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In present work, we investigate the numerical solution of time-fractional Jaulent-Miodek (JM) equations with the aid of two novel techniques namely, coupled fractional reduced differential transform method (CFRDTM) and -homotopy analysis transform method ( -HATM). The obtained solutions are presented in a series form, which are converges rapidly. In order to verify the proposed techniques are reliable and accurate, the numerical simulations have been conducted in terms of absolute error. The obtained solutions are presented graphically to ensure the applicability and validity of the considered algorithms. The results of the study reveal that, the -HATM is computationally very effective and accurate as compared to CFRDTM to analyse fractional nonlinear coupled JM equations.

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Section: Coupled Fractional Reduced Differential Transform Methods (Cfmentioning

confidence: 99%

Numerical simulation for fractional Jaulent–Miodek equation associated with energy-dependent Schrödinger potential using two novel techniques

Veeresha

Prakasha

Magesh³

et al. 2019

Waves in Random and Complex Media

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“…The mathematical groundwork for derivatives of fractional order was laid through combined efforts of pioneers such are Liouville, Riemann, Caputo, Miller and Ross, Podlubny, and others. The theory of fractional‐order calculus has been related to practical projects, and it has been applied to chaos theory, signal processing, electrodynamics, fluid dynamics, finance, and other areas …”

Section: Introductionmentioning

confidence: 99%

Numerical solution for (2 + 1)‐dimensional time‐fractional coupled Burger equations using fractional natural decomposition method

Prakasha

Veeresha

Rawashdeh

2019

Math Methods in App Sciences

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The aim of the present work is to find the numerical solutions for time‐fractional coupled Burgers equations using a new novel technique, called fractional natural decomposition method (FNDM). Two examples are considered in order to illustrate and validate the efficiency of the proposed algorithm. The numerical simulation has been conducted to ensure the exactness of the present method, and the obtained solutions are offered graphically to reveal the applicability and reliability of the FNDM. The outcomes of the study reveal that the FNDM is computationally very effective and accurate to study the (2 + 1)‐dimensional coupled Burger equations of arbitrary order.

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“…Using this interconsistency of fractional differential and integral vector operators, the fractional Green's, Stokes' and Gauss's theorems have been are proved. We can note that the theory of fractional-order derivatives and integrals has be applied to several specific electromagnetic problems (for example, see [29][30][31][32][33][34][35][36][37]). …”

Section: Introductionmentioning

confidence: 99%

Fractal electrodynamics via non-integer dimensional space approach

Tarasov

2015

Physics Letters A

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A note on fractional electrodynamics

Cited by 79 publications

References 17 publications

Numerical simulation for fractional Jaulent–Miodek equation associated with energy-dependent Schrödinger potential using two novel techniques

Numerical simulation for fractional Jaulent–Miodek equation associated with energy-dependent Schrödinger potential using two novel techniques

Numerical solution for (2 + 1)‐dimensional time‐fractional coupled Burger equations using fractional natural decomposition method

Fractal electrodynamics via non-integer dimensional space approach

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