Results 31 to 40 of about 615,518 (166)

Numerical methods for fractional differential equations by new caputo and hadamard types operators [PDF]

, 2020
Fractional ordinary differential equation (FODE) and fractional partial differential equation (FPDE) emerges in various modelling of physics phenomena. Over past decades, several fractional derivative and operator has been introduced such as Caputo-
Toh, Yoke Teng
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Differential equations with tempered Ψ-Caputo fractional derivative [PDF]

, 2021
In this paper we define a new type of the fractional derivative, which we call tempered Ψ−Caputo fractional derivative. It is a generalization of the tempered Caputo fractional derivative and of the Ψ−Caputo fractional derivative.
Eva Brestovanská, Brestovanská, Eva, Milan Medveď, Medveď, Milan   +3 more
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New integral inequalities for s-convex functions of the second sense via the caputo fractional derivative and the caputo–fabrizio integral operator

, 2023
Various integral inequalities for s-convex functions in the second sense are obtained by means of the Caputo fractional derivative and the Caputo–Fabrizio integral operator.
Yeşi̇lce Işık, İlknur, Tinaztepe, Gülteki̇n, Kemalı, Serap, Sezer Evcan, Si̇nem   +3 more
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Regional gradient controllability of ultra-slow diffusions involving the Hadamard-Caputo time fractional derivative [PDF]

, 2020
This paper investigates the regional gradient controllability for ultra-slow diffusion processes governed by the time fractional diffusion systems with a Hadamard-Caputo time fractional derivative.
Kou, Chunhai, Ge, Fudong, Cai, Ruiyang, Chen, Yangquan   +3 more
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Stability analysis of solutions and existence theory of fractional Lagevin equation

Alexandria Engineering Journal, 2021
The present article describes fractional Langevin equations (FDEs) invloving Caputo Hadamard-derivative of independent orders connected with non-local integral and non-periodic boundary conditions.
Amita Devi, Anoop Kumar, Thabet Abdeljawad, Aziz Khan   +3 more
doaj   +1 more source

New study on Caputo-Hadamard type fractional Neutral Integro-Differential equations [PDF]

Mathematics and Computational Sciences
In this work, we focus on the analysis of fractional-order neutral integro-differential equations using the Caputo-Hadamard fractional derivative. We employed the topological degree method (TDM) to derive results and solutions for these equations.
Emimal Navajothi, Selvi Sellappan
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Properties of the Caputo-Fabrizio Fractional Derivative [PDF]

, 2020
In this paper, we investigate some properties related Caputo-Fabrizio (CF) fractional derivative. We prove some regularity properties and bounds characterizing the Caputo-Fabrizio derivative operator.
D. Lau-Alfonso, L., Rodr ́ıguez Ricard, M., A. Mboro Nchama, G., M. Leo ́n Mec ́ıas, A.   +3 more
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Existence and stability of Caputo and Caputo–Hadamard fractional boundary value problems on the Convolutamine F molecular graph with four-point boundary conditions

Results in Control and Optimization
The present study investigates fractional boundary value problems associated with the graph structure of Convolutamine F under four-point boundary conditions.
Areeba Maqbool, Sarfraz Ahmad, Firas Ghanim, Zahid Raza   +3 more
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An Infinite System of Fractional Order with p-Laplacian Operator in a Tempered Sequence Space via Measure of Noncompactness Technique

Fractal and Fractional, 2021
In the current study, a new class of an infinite system of two distinct fractional orders with p-Laplacian operator is presented. Our mathematical model is introduced with the Caputo–Katugampola fractional derivative which is considered a generalization ...
Ahmed Salem, Lamya Almaghamsi, Faris Alzahrani   +2 more
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Simultaneous determination of a source term and diffusion concentration for a multi-term space-time fractional diffusion equation

Mathematical Modelling and Analysis, 2021
An inverse problem of determining a time dependent source term along with diffusion/temperature concentration from a non-local over-specified condition for a space-time fractional diffusion equation is considered.
Salman A. Malik, Asim Ilyas, Arifa Samreen   +2 more
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