Results 21 to 30 of about 84,384 (149)
Fractional-order modelling and analytical solutions for MHD casson fluid flow in an inclined channel with heat and mass transfer [PDF]
Scientific ReportsThis study investigates the unsteady magnetohydrodynamic (MHD) flow of a Casson fluid in an inclined channel using a fractional calculus framework.
Maher Alwuthaynani +5 more
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Hacettepe Journal of Mathematics and StatisticsThe present paper introduces a novel general inequality derived from functionsthat are twice differentiable in a multiplicative sense, according to the Riemann integral.By employing the multiplicative absolute value and presuming that the function demonstratesmultiplicative $h$-convexity, we can derive further inequality principles.We also present ...
Bouharket Benaissa, Azzouz Noureddine
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Fractal and Fractional, 2023 This contribution addresses a fractal numerical scheme that can be employed for handling fractal time-dependent parabolic equations. The numerical scheme presented in this contribution can be used to discretize integer order and fractal derivatives in a ...
Amani S. Baazeem +2 more
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The role of fractional derivatives and magnetic fields in shaping MHD newtonian flow behavior in injected diverging channels [PDF]
Scientific ReportsThis study comprehensively analyzes how fractional-order calculus and externally applied magnetic fields synergistically govern the hydrodynamic behavior of electrically conducting Newtonian fluids in divergent geometries by injecting flow through the ...
M. Tolami +2 more
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Fractional analysis of unsteady squeezing flow of Casson fluid via homotopy perturbation method [PDF]
Scientific Reports, 2022 The objective of this article is to model and analyze unsteady squeezing flow of fractional MHD Casson fluid through a porous channel. Casson fluid model is significant in understanding the properties of non-Newtonian fluids such as blood flows, printing
Mubashir Qayyum +7 more
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A Bi-Geometric Fractional Model for the Treatment of Cancer Using Radiotherapy
Fractal and Fractional, 2022 Our study is based on the modification of a well-known predator-prey equation, or the Lotka–Volterra competition model. That is, a system of differential equations was established for the population of healthy and cancerous cells within the tumor tissue ...
Mohammad Momenzadeh +2 more
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On the reachability tube of non-Newtonian first-order linear differential equations
Intermaths, 2023 A problem of practical interest is the determination of the reachability sets of ordinary differential equations with an external perturbation, or with a control. This problem can be extended to non-Newtonian spaces generated by continuous and injective
Raúl Temoltzi-Ávila
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Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions
Fractal and Fractional, 2023 This paper’s major goal is to prove some symmetrical Maclaurin-type integral inequalities inside the framework of multiplicative calculus. In order to accomplish this and after giving some basic tools, we have established a new integral identity.
Meriem Merad +3 more
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A non-Newtonian Noether's symmetry theorem [PDF]
Applicable Analysis, 2021 The universal principle obtained by Emmy Noether in 1918 asserts that the invariance of a variational problem with respect to a one-parameter family of symmetry transformations implies the existence of a conserved quantity along with the Euler–Lagrange ...
Delfim F. M. Torres
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Journal of Mathematics, 2023 In the 17th century, I. Newton and G. Leibniz found independently each other the basic operations of calculus, i.e., differentiation and integration. And this development broke new ground in mathematics.
Erdal Ünlüyol, Yeter Erdaş
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