This paper presents a new iterative algorithm for approximating the fixed points of multivalued generalized \(\alpha\)–nonexpansive mappings. We study stability result our larger concept known as weak \(w^2\)–stability. Weak and strong convergence results proposed are also established. Furthermore, we show numerically that outperforms several algorithms Again, an application, use to find soluti...

in this paper, we apply the local fractional laplace transform method (or yang-laplace transform) on volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. the iteration procedure is based on local fractional derivative operators. this approach provides us with a convenient way to find a solution ...

In this article, the recurrence relations and shift operators for multivariate Hermite polynomials are derived using factorization approach. Families of differential equations, including differential, integro–differential, partial obtained these operators. The Volterra integral is also discovered.

Nonlinear viscoelastic oscillations of a vehicle in vertical direction excited by static imbalance are considered. When taking into account the rheological properties suspension material and spring, Boltzmann-Volterra principle was used. Mathematical models problem under consideration obtained, which described systems nonlinear integro-differential equations. A solution method based on quadratu...