Results 21 to 30 of about 1,565,786 (254)
Journal of Inequalities and Applications, 2023 In this manuscript, we study the existence and uniqueness of solutions for a new neutral hybrid nonlinear differential equation in the context of a fractional generalized operator in the sense of ψ -Caputo.
Naas Adjimi +5 more
semanticscholar +1 more source
Mathematics, 2023 This paper introduces the generalized fractional differential quadrature method, which is based on the generalized Caputo type and is used for the first time to solve nonlinear fractional differential equations.
Abdelfattah Mustafa +2 more
doaj +1 more source
A generalized Caputo-type fractional-order neuron model under the electromagnetic field
International Journal of Dynamics and Control, 2023 This article considers a fractional-order neuron model under an electromagnetic field in terms of generalized Caputo fractional derivatives. The motivation for incorporating fractional derivatives in the previously proposed integer-order neuron model is ...
Pushpendra Kumar +4 more
semanticscholar +1 more source
Fractal and Fractional, 2022 The aim of this research work is to derive some appropriate results for extremal solutions to a class of generalized Caputo-type nonlinear fractional differential equations (FDEs) under nonlinear boundary conditions (NBCs).
C. Derbazi +5 more
semanticscholar +1 more source
Fractal and Fractional, 2022 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
doaj +1 more source
AIMS Mathematics, 2022 In this article, we propose some novel results on the existence and uniqueness of generalized Caputo-type initial value problems with delay by using fixed point theory.
Pushpendra Kumar, V. Govindaraj, Z. Khan
semanticscholar +1 more source
High-order approximation to generalized Caputo derivatives and generalized fractional advection-diffusion equations [PDF]
Mathematics, 2022 In this article, a high-order time-stepping scheme based on the cubic interpolation formula is considered to approximate the generalized Caputo fractional derivative (GCFD).
Sarita Kumari, R. Pandey
semanticscholar +1 more source
Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]
, 2019 In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative.
Iskenderoglu, Gulistan, Kaya, Dogan
core +2 more sources
Mathematics, 2023 In this article, a high-order time-stepping scheme based on the cubic interpolation formula is considered to approximate the generalized Caputo fractional derivative (GCFD). Convergence order for this scheme is (4−α), where α(0<α<1) is the order of the GCFD. The local truncation error is also provided.
Sarita Kumari +2 more
openaire +3 more sources
Fractal and Fractional, 2021 Herein, we developed and analyzed a new fractal–fractional (FF) operational matrix for orthonormal normalized ultraspherical polynomials. We used this matrix to handle the FF Riccati differential equation with the new generalized Caputo FF derivative ...
Youssri Hassan Youssri
semanticscholar +1 more source