Results 91 to 100 of about 372,508 (154)
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 +5 more
doaj +1 more source
Ostrowski type inequalities involving the right Caputo fractional derivatives belong to L_{p} [PDF]
Facta Universitatis, Series Mathematics and Informatics, 27(2),
2012, 2012 In this paper, we have established Ostrowski type inequalities involving the right Caputo fractional derivatives belong to L_{p} spaces (1\leq p \leq \infty) via the right Caputo fractional Taylor formula with integral remainder.
arxiv
A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley +1 more source
Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative
Demonstratio MathematicaRiesz-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
doaj +1 more source
Advances in Difference Equations, 2018 The generalized Caputo fractional derivative is a name attributed to the Caputo version of the generalized fractional derivative introduced in Jarad et al. (J. Nonlinear Sci. Appl. 10:2607–2619, 2017).
Y. Y. Gambo +3 more
doaj +1 more source
Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley +1 more source
Existence results for a class of Caputo type fractional differential equations with Riemann-Liouville fractional integrals and Caputo fractional derivatives in boundary conditions [PDF]
arXiv, 2018 In this paper, we investigate the existence and uniqueness of solutions for a fractional boundary value problem supplemented with nonlocal Riemann-Liouville fractional integral and Caputo fractional derivative boundary conditions. Our results are based on some known tools of fixed point theory. Finally, some illustrative examples are included to verify
arxiv
Numerical Methods for Solving Fractional Differential Equations [PDF]
, 2018 Department of Mathematical SciencesIn this thesis, several efficient numerical methods are proposed to solve initial value problems and boundary value problems of fractional di???erential equations.
Kim, Keon Ho
core
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
Diego A. Murio, Carlos E. Mejía
openaire +2 more sources