Results 71 to 80 of about 56,071 (293)
Boundary Value Problems, 2017 By mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative, we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractional derivative.
Dumitru Baleanu +2 more
doaj +1 more source
Prabhakar-like fractional viscoelasticity
, 2017 The aim of this paper is to present a linear viscoelastic model based on Prabhakar fractional operators. In particular, we propose a modification of the classical fractional Maxwell model, in which we replace the Caputo derivative with the Prabhakar one.
Colombaro, Ivano, Giusti, Andrea
core +1 more source
, 2020 In this paper, we investigate the existence, uniqueness and Ulam-Hyers stability of solutions for nonlinear implicit fractional differential equations with boundary conditions involving a ψ-Caputo fractional derivative.
Hanan A. Wahash +2 more
semanticscholar +1 more source
Time fractional IHCP with Caputo fractional derivatives
Computers & Mathematics with Applications, 2008 AbstractThe numerical solution of the time fractional inverse heat conduction problem (TFIHCP) 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. A finite difference space marching scheme with adaptive regularization, using mollification techniques, is ...
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Caputo and related fractional derivatives in singular systems [PDF]
Applied Mathematics and Computation, 2018 Abstract By using the Caputo (C) fractional derivative and two recently defined alternative versions of this derivative, the Caputo–Fabrizio (CF) and the Atangana–Baleanu (AB) fractional derivative, firstly we focus on singular linear systems of fractional differential equations with constant coefficients that can be non-square matrices, or square ...
Dassios, Ioannis K., Baleanu, Dumitru
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Alexandria Engineering JournalIn this manuscript, we present the general fractional derivative (FD) along with its fractional integral (FI), specifically the ψ-Caputo–Katugampola fractional derivative (ψ-CKFD).
Lakhlifa Sadek +2 more
doaj +1 more source
Electrical circuits RC and RL involving fractional operators with bi-order
Advances in Mechanical Engineering, 2017 This article describes electrical series circuits RC and RL using the concept of derivative with two fractional orders α and β in Liouville–Caputo sense. The fractional equations consider derivatives in the range of α , β ∈ ( 0 ; 1 ] .
JF Gómez-Aguilar +4 more
doaj +1 more source
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 +2 more
doaj +1 more source
Complex, 2020 In this paper, we study the existence and uniqueness of solutions to implicit the coupled fractional differential system with the Katugampola–Caputo fractional derivative. Different fixed-point theorems are used to acquire the required results. Moreover,
Manzoor Ahmad +4 more
semanticscholar +1 more source
Fractional variational calculus with classical and combined Caputo derivatives [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2012 Submitted 30-Nov-2010; accepted 14-Jan-2011; for publication in Nonlinear Analysis Series A: Theory, Methods & ...
Odzijewicz, T. +2 more
openaire +4 more sources