Results 41 to 50 of about 924,447 (216)
Time fractional IHCP with Caputo fractional derivatives
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A nonlocal boundary value problem for a couple of two scalar nonlinear differential equations with several generalized proportional Caputo fractional derivatives and a delay is studied.
Ravi P. Agarwal, Snezhana Hristova
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On the Nonlinear Fractional Differential Equations with Caputo Sequential Fractional Derivative [PDF]
The purpose of this paper is to investigate the existence of solutions to the following initial value problem for nonlinear fractional differential equation involving Caputo sequential fractional derivativeDc0α2Dc0α1yxp-2Dc0α1yx=fx,yx,x>0,y(0)=b0,Dc0α1y(0)=b1, whereDc0α1,Dc0α2are Caputo fractional derivatives,0<α1,α2≤1,p>1, andb0,b1∈R.
Hailong Ye, Rui Huang
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Fractional Euler-Lagrange differential equations via Caputo derivatives [PDF]
We review some recent results of the fractional variational calculus. Necessary optimality conditions of Euler–Lagrange type for functionals with a Lagrangian containing left and right Caputo derivatives are given.
Torres, D. F. M. +5 more
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Separation and stability of solutions to nonlinear systems involving Caputo–Fabrizio derivatives
This work mainly investigates the separation and stability of solutions to nonlinear systems involving Caputo–Fabrizio fractional derivatives. An inequality ensuring the positivity of the fractional derivative at a given point is derived, by which the ...
Wenyong Zhong +2 more
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A fractional model of the Hopfield neural network is considered in the case of the application of the generalized proportional Caputo fractional derivative. The stability analysis of this model is used to show the reliability of the processed information.
Ricardo Almeida +3 more
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ABSTRACT Consumer demand for value‐added dairy products has grown substantially, yet consumer preferences for origin information (including farmstead) on ice cream remain underexplored. We used a stated preferences choice experiment to elicit consumers' willingness‐to‐pay (WTP) for ice cream across nine states in the Southeastern U.S.
Nama Raj Bhusal +5 more
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A Fractional-Order Chemical System: Numerical Analysis with Distinct Variable-Order Derivatives
Fractional calculus models complicated systems that exhibit memory effects, showing much greater potential than classical integer-order derivatives in modeling chaotic systems.
Ughur Budaq, Emrullah Yaşar
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Incomplete Caputo fractional derivative operators [PDF]
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Ozarslan, Mehmet Ali, Ustaoglu, Ceren
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Caputo Fractional Derivative Hadamard Inequalities for Strongly m-Convex Functions
In this paper, two versions of the Hadamard inequality are obtained by using Caputo fractional derivatives and strongly m-convex functions. The established results will provide refinements of well-known Caputo fractional derivative Hadamard inequalities ...
Xue Feng +5 more
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