Results 11 to 20 of about 2,960 (186)
In this paper, we use the finite element method to solve the fractional space-time diffusion equation over finite fields. This equation is obtained from the standard diffusion equation by replacing the first temporal derivative with the new fractional ...
Boutiba Malika+2 more
doaj +1 more source
Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation
The nonlinear fractional-order cubic-quintic-heptic Duffing problem will be solved through a new numerical approximation technique. The suggested method is based on the Pell-Lucas polynomials’ operational matrix in the fractional and integer orders.
El-Sayed Adel Abd Elaziz
doaj +1 more source
Background – While the clinical features were described recently, the histopathological characterisation of trunk‐dominant canine pemphigus foliaceus (PF) is lacking, and whether it differs from classic facial or insecticide‐triggered PF is unknown. Hypothesis/Objectives – This study describes the histopathological findings of trunk‐dominant PF, and ...
Natalie Katharina Yvonne Gedon+6 more
wiley +1 more source
A note on fractional difference operators
In the present article, following on very recent and new approach of fractional difference operator by Baliarsingh (2016), we establish some new ideas involving the exponent rules of this operator.
P. Baliarsingh, L. Nayak
doaj +1 more source
. In this paper, we investigate the existence of global e -positive mild solutions to the initial value problem for a nonlinear impulsive fractional evolution differential equation involving the theory of sectorial operators.
J. F. Junior+2 more
semanticscholar +1 more source
On fractional kinetic equations k-Struve functions based solutions
In the present research article, we investigate the solutions for fractional kinetic equations, involving k-Struve functions, some of the salient properties of which we present. The method used is Laplace transform based.
Kottakkaran Sooppy Nisar+2 more
doaj +1 more source
The purpose of this research is to investegate the existence and uniqueness of solutions for a new class of Atangana-Baleanu fractional differential equations of order with periodic boundary conditions.
A. Rafeeq, Muhammad Muhammad
semanticscholar +1 more source
Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators.
M. Kamarujjama, N.U. Khan, Owais Khan
doaj +1 more source
Fox H-functions as exact solutions for Caputo type mass spring damper system under Sumudu transform
. Closed form solutions for mathematical systems are not easy to find in many cases. In particular, linear systems such as the population growth/decay model, RLC circuit, mixing problems in chemistry, first-order kinetic reactions, and mass spring damper ...
S. Qureshi
semanticscholar +1 more source
A numerical study of anomalous electro-diffusion cells in cable sense with a non-singular kernel
The time-fractional cable model is solved using an extended cubic B-spline (ECBS) collocation strategy. The B-spline function was used for space partitioning, while the Caputo-Fabrizio (CF) was used for temporal discretization.
Iqbal Azhar, Akram Tayyaba
doaj +1 more source