Results 81 to 90 of about 2,960 (186)

Extraction of soliton solutions and Painlevé test for fractional Peyrard-Bishop DNA model

Demonstratio Mathematica
The Peyrard-Bishop DNA model is investigated in this study. Two most reliable and efficient analytical techniques, the Jacobi elliptic function method, and the tanh\tanh -coth\coth method, are being employed for finding new and novel soliton solutions ...
Akram Ghazala, Arshed Saima, Sadaf Maasoomah, De la Sen Manuel, Abbas Muhammad, Hamed Yasser Salah   +5 more
doaj   +1 more source

Theorem for Series in Three-Parameter Mittag-Leffler Function [PDF]

, 2010
Mathematics Subject Classification 2010: 26A33, 33E12.The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries.
Camargo, Rubens, Oliveira, Edmundo, Soubhia, Ana, Vaz, Jayme   +3 more
core  

Basic and fractional q-calculus and associated Fekete-Szegő problem for p-valently q-starlike functions and p-valently q-convex functions of complex order

Miskolc Mathematical Notes, 2019
In this paper, we introduce and study some subclasses of p-valently analytic functions in the open unit disk U by applying the q-derivative operator and the fractional q-derivative operator in conjunction with the principle of subordination between ...
H. Srivastava, A. Mostafa, M. Aouf, H. Zayed   +3 more
semanticscholar   +1 more source

Characterization of p‐Adic Mixed λ‐Central Bounded Mean Oscillation Space via Commutators of p‐Adic Hardy‐Type Operators

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
In this note, we define p‐adic mixed Lebesgue space and mixed λ‐central Morrey‐type spaces and characterize p‐adic mixed λ‐central bounded mean oscillation space via the boundedness of commutators of p‐adic Hardy‐type operators on p‐adic mixed Lebesgue space.
Naqash Sarfraz, Muhammad Bilal Riaz, Sajid Mehmood, Mir Zaman, Abdul Rauf Khan   +4 more
wiley   +1 more source

A new class of mixed fractional differential equations with integral boundary conditions

Moroccan Journal of Pure and Applied Analysis, 2021
This paper deals with a new class of mixed fractional differential equations with integral boundary conditions. We show an important equivalence result between our problem and nonlinear integral Fredholm equation of the second kind.
Somia Djiab, Brahim Nouiri
doaj   +1 more source

Quasilinearization‐Collocation Method for the Numerical Solution of Nonlinear Fractional Volterra Integro‐Differential Equations With Logarithmic Weakly Singular Kernel

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro‐differential equations with logarithmic weakly singular kernel. After examining the behavior of the solution of the integro‐differential equation, we convert it into a ...
Qays Atshan Almusawi, Esmaeil Najafi, Birendra Nath Mandal   +2 more
wiley   +1 more source

On the use of Mohand integral transform for solving fractional-order classical Caputo differential equations

, 2020
In this research study, a newly devised integral transform called the Mohand transform has been used to find the exact solutions of fractional-order ordinary differential equations under the Caputo type operator. This transform technique has successfully
S. Qureshi, A. Yusuf, S. Aziz
semanticscholar   +1 more source

Bifurcation and Global Stability of a SEIRS Model With a Modified Nonlinear Incidence Rate

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
In this work, a SEIRS (susceptible–exposed–infected–recovered–susceptible) model with modified nonlinear incidence rate is considered. The incidence rate illustrates how the number of infected individuals initially increases at the onset of a disease, subsequently decreases due to the psychological effect, and ultimately reaches saturation due to the ...
Shilan Amin, Saiwan Majeed, Sozan Aziz, Arkan Mustafa, Kamal Kumar   +4 more
wiley   +1 more source

A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation

Open Mathematics, 2016
In this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with
Eghbali Nasrin, Kalvandi Vida, Rassias John M.   +2 more
doaj   +1 more source

Transference of fractional Laplacian regularity

, 2014
In this note we show how to obtain regularity estimates for the fractional Laplacian on the multidimensional torus $\mathbb{T}^n$ from the fractional Laplacian on $\mathbb{R}^n$.
J.E. Galé, L. Caffarelli, L. Silvestre, N.N. Lebedev, P.R. Stinga   +4 more
core   +1 more source