Results 91 to 100 of about 341 (180)

Application of the homotopy perturbation method for weakly singular Volterra integral equations

Journal of New Results in Science
In this paper, we study a weakly singular Volterra integral equation of the second kind with the kernel $\displaystyle K(x,t) = \left (\frac{t}{x}\right )^\nu\frac{1}{t}$, for some $\nu >0$ and $x\in[0,X]$.
Ahmet Altürk
doaj   +1 more source

A new formulation of Hermite–Hadamard–Fejer inequalities connected with an extended fractional operator

Journal of Inequalities and Applications
In this work, we classify the extensions of Hermite–Hadamard(H–H)–Fejer-type inequalities for the fractional operators involving nonlinear kernel. By utilizing these inequalities, we develop many kinds of fractional integral (FI) inequalities.
Muhammad Younis, Zhi Guo Liu, Muhammad Samraiz, Ahsan Mehmood   +3 more
doaj   +1 more source

Fredholm boundary-value problem for the system of fractional differential equations. [PDF]

Nonlinear Dyn, 2023
Boichuk O, Feruk V.
europepmc   +1 more source

Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials. [PDF]

Heliyon, 2022
Jan AR.
europepmc   +1 more source

A singular ODE related to quasilinear elliptic equations

Electronic Journal of Differential Equations, 2000
We consider a quasilinear elliptic problem with the natural growth in the gradient. Existence, non-existence, uniqueness, and qualitative properties of positive solutions are obtained. We consider both weak and strong solutions.
Luka Korkut, Mervan Pasic, Darko Zubrinic   +2 more
doaj  

Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics. [PDF]

Bull Math Biol, 2023
Bortz DM, Messenger DA, Dukic V.
europepmc   +1 more source

Numerical simulation of dynamic processes in the problem of pressure transfer from an artery to an occlusal cuff

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. To date, the process of pressure transfer from the artery to the hydro-cuff has not been studied. Therefore, obtaining theoretical knowledge about the physical processes underlying the formation of oscillations in it, with radial limitations ...
A.N. Tynda, S.I. Gerashchenko, M.S. Gerashchenko, A.A. Pivkina   +3 more
doaj   +1 more source

A unified Haar wavelet collocation framework for fractional volterra integro-differential equations with application to tumor-immune dynamics modeling. [PDF]

Sci Rep
Hamood MM, Sharif AA, Ghadle KP.
europepmc   +1 more source

A highly accurate Hermite polynomial-based least-squares approach for solving fractional Volterra-Fredholm integro-differential equations. [PDF]

PLoS One
Hamood MM, Sharif AA, Ghadle KP.
europepmc   +1 more source

A new Bihari inequality and initial value problems of first order fractional differential equations. [PDF]

Fract Calc Appl Anal, 2023
Lan K, Webb JRL.
europepmc   +1 more source