Numerous fields, including the physical sciences, social sciences, and earth sciences,
benefit greatly from the application of fractional calculus (FC). The fractional-order derivative …

We consider a boundary-value problem for the third-order partial differential equation d3u
(t)/dt3+ Au (t)= ƒ (t), 0< t< 1, u (0)= ϕ, u (1)= ψ, u′(1)= ξ in a Hilbert space H with a self …

In this article, the reproducing kernel Hilbert space [0, 1] is employed for solving a class of
third-order periodic boundary value problem by using fitted reproducing kernel algorithm …

In this study, the nonlocal boundary value problem for the third order partial differential
equation with a self-adjoint positive definite operator in a Hilbert space is investigated. The …

The nonlocal boundary-value problem for a third order partial differential equation in a
Hilbert space with a self-adjoint positive definite operator is considered. Applying operator …

In the present paper, the initial value problem for the third order partial differential equations
with time delay in a Hilbert space with self-adjoint positive definite operator is investigated …

The initial value problem for the third order delay differential equation in a Hilbert space with
an unbounded operator is investigated. The absolute stable three-step difference scheme of …

This article is devoted to the study of high-order, accurate difference schemes' numerical
solutions of local and non-local problems for ordinary differential equations of the fourth …

In the present study, first and second order of accuracy difference schemes for the numerical
solution of the boundary value problem with nonlocal conditions for a one-dimensional third …

The nonlocal boundary-value problem for a third order partial differential equation d/3 u (t) dt
3+ A d/u (t) dt= f (t), 0< t< 1, u (0)= γ u (λ)+ φ, u'(0)= α u'(λ)+ Ψ, u ″(0)= β u ″(λ)+ ξ in a …