Results 51 to 60 of about 1,565,786 (254)

A New Gronwall–Bellman Inequality in Frame of Generalized Proportional Fractional Derivative

Mathematics, 2019
New versions of a Gronwall−Bellman inequality in the frame of the generalized (Riemann−Liouville and Caputo) proportional fractional derivative are provided.
Jehad Alzabut, Weerawat Sudsutad, Zeynep Kayar, Hamid Baghani   +3 more
doaj   +1 more source

Generalized Taylor formulas involving generalized fractional derivatives

, 2017
In this paper, we establish a generalized Taylor expansion of a given function $f$ in the form $\displaystyle{f(x) = \sum_{j=0}^m c_j^{\alpha,\rho}\left(x^\rho-a^\rho\right)^{j\alpha} + e_m(x)}$ \noindent with $m\in \mathbb{N}$, $c_j^{\alpha,\rho}\in
Benjemaa, Mondher
core   +1 more source

A new generalized Hilfer-type fractional derivative with applications to space-time diffusion equation

Results in Physics, 2021
This paper is concerned to present and apply a new generalized fractional derivative, that is the Generalized Hilfer-type (GH) fractional derivative.
Tahir Ullah Khan, Muhammad Adil Khan, Yu-Ming Chu   +2 more
doaj   +1 more source

Fractional Euler-Lagrange differential equations via Caputo derivatives [PDF]

, 2011
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.
AA Kilbas, AB Malinowska, AB Malinowska, AB Malinowska, AB Malinowska, B Brunt van, D Baleanu, D Baleanu, D Baleanu, D Mozyrska, D Mozyrska, DFM Torres, F Riewe, GSF Frederico, GSF Frederico, GSF Frederico, I Podlubny, NRO Bastos, NRO Bastos, OP Agrawal, R Almeida, R Almeida, R Almeida, R Almeida, R Almeida, R Almeida, R Magin, RA El-Nabulsi, RA El-Nabulsi, TM Atanacković   +29 more
core   +3 more sources

Generalized time fractional IHCP with Caputo fractional derivatives

Journal of Physics: Conference Series, 2008
The numerical solution of the generalized time fractional inverse heat conduction problem (GTFIHCP) on a finite slab is investigated in the presence of measured (noisy) data when the time fractional derivative is interpreted in the sense of Caputo. The GTFIHCP involves the simultaneous identification of the heat flux and temperature transient functions
D A Murio, C E Mejía
openaire   +1 more source

Hyers–Ulam Stability and Existence of Solutions for Differential Equations with Caputo–Fabrizio Fractional Derivative

Mathematics, 2019
In this paper, the Hyers–Ulam stability of linear Caputo–Fabrizio fractional differential equation is established using the Laplace transform method.
Kui Liu, Michal Fečkan, D. O’Regan, JinRong Wang   +3 more
doaj   +1 more source

Towards a combined fractional mechanics and quantization

, 2012
A fractional Hamiltonian formalism is introduced for the recent combined fractional calculus of variations. The Hamilton-Jacobi partial differential equation is generalized to be applicable for systems containing combined Caputo fractional derivatives ...
Malinowska, Agnieszka B., Torres, Delfim F. M.   +1 more
core   +1 more source

Some Qualitative Analyses of Neutral Functional Delay Differential Equation with Generalized Caputo Operator

, 2021
In this paper, a new class of a neutral functional delay differential equation involving the generalized - Caputo derivative is investigated on a partially ordered Banach space. The existence and uniqueness results to the given boundary value problem are
Abdellatif Boutiara, M. Matar, Mohammed K. A. Kaabar, F. Martínez, S. Etemad, S. Rezapour   +5 more
semanticscholar   +1 more source

Analysis of a fractional model for HIV CD$ 4^+ $ T-cells with treatment under generalized Caputo fractional derivative

AIMS Mathematics, 2021
: In this paper, a mathematical model of generalized fractional-order is constructed to study the problem of human immunodeficiency virus (HIV) infection of CD4 T-cells with treatment.
J. Kongson, Chatthai Thaiprayoon, W. Sudsutad   +2 more
semanticscholar   +1 more source

Are all meats substitutes? A basket‐and‐expenditure‐based approach

Agribusiness, EarlyView.
Abstract This study examines the relationship among animal‐based meat and plant‐based meat alternatives (PBMAs) using a basket‐and‐expenditure‐based choice experiment. In particular, we examine whether animal‐based meat products are substitutes or complements with PBMAs.
Clinton L. Neill, Logan L. Britton
wiley   +1 more source