Results 71 to 80 of about 388,923 (185)

Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative

Demonstratio Mathematica
Riesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid ...
Ji Dehong, Fu Shiqiu, Yang Yitao
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Nonlinear fractional cone systems with the Caputo derivative

Applied Mathematics Letters, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dorota Mozyrska, Ewa Girejko, Malgorzata Wyrwas   +2 more
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A novel fractional operator application for neural networks using proportional Caputo derivative

, 2022
In machine learning models, one of the most popular models is artificial neural networks. The activation function is one of the important parameters of neural networks.
Altan, Gökhan, Alkan, Sertan, Baleanu, Dumitru   +2 more
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A singularity-inferred operator-consistent fractional PINN for one- and two-dimensional third-kind Caputo–Hadamard auto-convolution Volterra equations with weakly singular kernels

Results in Engineering
We propose a singularity-inferred operator-consistent fractional physics-informed neural network for one- and two-dimensional third-kind Caputo–Hadamard auto-convolution Volterra equations with weakly singular kernels.
Essaid Aourir, Hojatollah Laeli Dastjerdi, Kamal Shah, Thabet Abdeljawad   +3 more
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On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative

Journal of Function Spaces, 2016
The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined.
Ahmed Alsaedi, Dumitru Baleanu, Sina Etemad, Shahram Rezapour   +3 more
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Fixed-Point Theorems for Rational Interpolative-Type Operators with Applications

Journal of Function Spaces, 2020
In the current manuscript, two fixed-point theorems for Dass-Gupta and Gupta-Saxena rational interpolative-type operators are studied in the setting of metric spaces.
Muhammad Sarwar, Sahibzada Waseem Ahmad, Thabet Abdeljawad   +2 more
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Multiple Fractional Solutions for Magnetic Bio-Nanofluid Using Oldroyd-B Model in a Porous Medium with Ramped Wall Heating and Variable Velocity

Applied Sciences, 2020
Three different fractional models of Oldroyd-B fluid are considered in this work. Blood is taken as a special example of Oldroyd-B fluid (base fluid) with the suspension of gold nanoparticles, making the solution a biomagnetic non-Newtonian nanofluid ...
Muhammad Saqib, Ilyas Khan, Yu-Ming Chu, Ahmad Qushairi, Sharidan Shafie, Kottakkaran Sooppy Nisar   +5 more
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Analysis of fractional electrical circuit with rectangular input signal using Caputo and conformable derivative definitions [PDF]

, 2018
An analysis of a given electrical circuit using a fractional derivative. The statespace equation was developed. The dynamics of tensions described by Kirchhoff’s laws equations.
Piotrowska, E.
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Caputo–Hadamard Fractional Derivatives of Variable Order [PDF]

Numerical Functional Analysis and Optimization, 2016
ABSTRACTIn this article, we present three types of Caputo–Hadamard derivatives of variable fractional order and study the relations between them. An approximation formula for each fractional operator, using integer-order derivatives only, is obtained and an estimation for the error is given.
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A Simple and Effective Second-Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo-Tempered Fractional Derivative

Advances in Mathematical Physics
This paper presents an efficient numerical scheme for the space–time tempered fractional convection–diffusion equation, where the time derivative is the Caputo-tempered fractional derivative and the space derivatives are the normalized left and right ...
Dechao Gao, Zeshan Qiu, Lizan Wang, Jianxin Li   +3 more
doaj   +1 more source