Flow of viscous fluid over an infinite plate with Caputo-Fabrizio derivatives

Farooq, M.; Khan, M. Saqib; Hajizadeh, Ahmad

doi:10.30538/oms2019.0054

Cited by 11 publications

(8 citation statements)

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“…Fractional integral and derivative operators are the key factors in the development of fractional calculus. Recently, the generalizations [15][16][17], extensions [18][19][20], and applications [21][22][23] for fractional operators have been made by many researchers in mathematics, fluid mechanics [24][25][26], biological population models [27], and numerical methods [28].…”

Section: Introductionmentioning

confidence: 99%

Refinements and Generalizations of Some Fractional Integral Inequalities via Strongly Convex Functions

Farid

Yasmeen

Jung

et al. 2021

Mathematical Problems in Engineering

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Section: Introductionmentioning

confidence: 99%

Refinements and Generalizations of Some Fractional Integral Inequalities via Strongly Convex Functions

Farid

Yasmeen

Jung

et al. 2021

Mathematical Problems in Engineering

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“…In order to scan the results of the magnetohydrodynamics (MHD) flow of tangent hyperbolic fluid with nano particles [23] the good agreement with existing results. For the magnetized tangent hyperbolic with nano particles, the computations of the present outcomes for f (0) , θ (0) , φ (0) are made in the table (2)(3)(4)(5). The computations have been made for −f (0) skin friction coefficient, −θ (0) local Nusselt number, φ (0) Sherwood number and −χ (0) motile microorganism become a similar corresponding to the different values of n, We, γ , K 1 , λ, Nr, Nc, Pe, δ 1 , γ , δ.…”

Section: Analysis Of Tabulationmentioning

confidence: 99%

“…The latest exploration regarding the term nano technology is now becoming the topic of great interest in engineering and technology, because of their increasing demand in industries. Non-Newtonian fluids deeply focused by physicists and engineers nowadays by [1]- [3]. Though world is suffering the energy crisis, because of the global warming and environmental pollution.…”

Section: Introductionmentioning

confidence: 99%

Effective Prandtl Aspects on Bio-Convective Thermally Developed Magnetized Tangent Hyperbolic Nanoliquid With Gyrotactic Microorganisms and Second Order Velocity Slip

et al. 2019

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The current article depicts the impact of the effective Prandtl number on thermally developed flow of magnetized tangent hyperbolic fluid containing nanoparticles over a porous surface with shear rate viscosity. Zero normal mass flux condition for nano particles is used with second order slip features. In order to prop the suspended nanoparticles by associate effect of buoyancy force and magnetic field is implemented. Bio-convective effect with Nield boundaries due to gyrotactic motile microorganisms is the concerned factor of current communication. The implemented appropriate transformation function is used to transform the system of self-determining partial differential equations (PDEs) into the sets of non-linear ordinary differential equations (ODEs). These transmuted expression computed numerically by bvp4c function on MATLAB using mathematical scheme shooting technique. Furthermore, the interesting phenomena of controlling parameters, is inspected on velocity profile, temperature distribution, concentration profile of nano particles and motile microorganisms by using graphical and numerical techniques. The first order and the second order slip parameters decay the momentum boundry layer, and boosted up the velocity profile as enhance in the value of mixed convection parameter. It is deduced that the Peclet number and the bioconvection Lewis number results delay in the density of the motile microorganism. For the efficient of the thermal field, the bioconvection is induced by the gyrotactic microorganisms to stabilized the nanoparticles. INDEX TERMS Effective Prandtl number, tangent hyperbolic nanofluids, second order slip, motile microorganism.

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“…Fractional calculus as a branch of mathematical analysis due to important applications in computational science, engineering [1][2][3][4], chemistry, and many physical equations such as Burger's equation [5] and Korteweg-de Vries equation [6], and viscous fluid [7] has been broadly significant. Recently, obtaining solution of the linear and nonlinear differential equations has important roles in fractional calculus [8,9], because the behavior of the equations is determined by their analytical solutions.…”

Section: Introductionmentioning

confidence: 99%

New Numerical Algorithm to Solve Variable-Order Fractional Integrodifferential Equations in the Sense of Hilfer-Prabhakar Derivative

Derakhshan

2021

Abstract and Applied Analysis

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In this article, a numerical technique based on the Chebyshev cardinal functions (CCFs) and the Lagrange multiplier technique for the numerical approximation of the variable-order fractional integrodifferential equations are shown. The variable-order fractional derivative is considered in the sense of regularized Hilfer-Prabhakar and Hilfer-Prabhakar fractional derivatives. To solve the problem, first, we obtain the operational matrix of the regularized Hilfer-Prabhakar and Hilfer-Prabhakar fractional derivatives of CCFs. Then, this matrix and collocation method are used to reduce the solution of the nonlinear coupled variable-order fractional integrodifferential equations to a system of algebraic equations which is technically simpler for handling. Convergence and error analysis are examined. Finally, some examples are given to test the proposed numerical method to illustrate its accuracy and efficiency.

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Flow of viscous fluid over an infinite plate with Caputo-Fabrizio derivatives

Cited by 11 publications

References 0 publications

Refinements and Generalizations of Some Fractional Integral Inequalities via Strongly Convex Functions

Refinements and Generalizations of Some Fractional Integral Inequalities via Strongly Convex Functions

Effective Prandtl Aspects on Bio-Convective Thermally Developed Magnetized Tangent Hyperbolic Nanoliquid With Gyrotactic Microorganisms and Second Order Velocity Slip

New Numerical Algorithm to Solve Variable-Order Fractional Integrodifferential Equations in the Sense of Hilfer-Prabhakar Derivative

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