Results 251 to 260 of about 760,461 (313)

Time-Fractional Differential Equations

2020
This book aims to establish a foundation for fractional derivatives and fractional differential equations. The theory of fractional derivatives enables considering any positive order of differentiation. The history of research in this field is very long, with its origins dating back to Leibniz.
Adam Kubica, Katarzyna Ryszewska, Masahiro Yamamoto   +2 more
openaire   +2 more sources

Analytical solutions for conformable space-time fractional partial differential equations via fractional differential transform

Chaos, Solitons and Fractals, 2018
Hayman Thabet, S. Kendre
semanticscholar   +3 more sources

Fractional Differential Equations

semanticscholar   +3 more sources

Collocation methods for terminal value problems of tempered fractional differential equations

, 2020
A class of tempered fractional differential equations with terminal value problems are investigated in this paper. Discretized collocation methods on piecewise polynomials spaces are proposed for solving these equations.
B. Shiri, Guo-cheng Wu, D. Baleanu
semanticscholar   +1 more source

Linear Stationary Fractional Differential Equations

Fractional Calculus and Applied Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nosov, Valeriy, Meda-Campaña, Jesús Alberto   +1 more
openaire   +1 more source

Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel

Chaos, Solitons & Fractals, 2019
In this paper we are established the existence of positive solutions (EPS) and the Hyers-Ulam (HU) stability of a general class of nonlinear Atangana-Baleanu-Caputo (ABC) fractional differential equations (FDEs) with singularity and nonlinear p-Laplacian
Aziz Khan, H. Khan, J. F. Gómez‐Aguilar, T. Abdeljawad   +3 more
semanticscholar   +1 more source

Fuzzy fractional differential equations under Caputo-Katugampola fractional derivative approach

Fuzzy Sets Syst., 2019
In this work, an initial value problem of Caputo–Katugampola (CK) fractional differential equations in fuzzy setting is considered and an idea of successive approximations under generalized Lipschitz condition is used to prove the existence and ...
N. Hoa, H. Vu, T. Duc
semanticscholar   +1 more source

Fractional Differential Equations

2018
Let the fractional differential equation (FDE) be $$\displaystyle (D^\alpha _{a_+}y)(t) = f[t,y(t)],\hspace {0.2 cm} \alpha > 0,\hspace {0.2 cm} t > a,$$ with the conditions: $$\displaystyle (D^{\alpha - k}_{a+}y)(a+) = b_k,\hspace {0.2 cm} k = 1,\ldots , n,$$ called also Riemann–Liouville FDE.
Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado   +2 more
openaire   +1 more source

Multivalued fractional differential equations

Applied Mathematics and Computation, 1995
The authors study the Cauchy problem of a multivalued fractional differential equation as a consequent result of the study of Cauchy problem of fractional differential equations in the Banach space \(E\). They prove some theorems and present their existence and some other properties.
El-Sayed, A. M. A., Ibrahim, A. G.
openaire   +1 more source

Numerical solution of multiterm variable‐order fractional differential equations via shifted Legendre polynomials

Mathematical methods in the applied sciences, 2019
In this paper, shifted Legendre polynomials will be used for constructing the numerical solution for a class of multiterm variable‐order fractional differential equations.
A. A. El-Sayed, P. Agarwal
semanticscholar   +1 more source