We consider the inverse problem for a quasilinear second order elliptic equation with unknown coefficient at lower-order term and first kind boundary condition integral overedetermination on boundary. prove theorem local existence uniqueness of strong solution to problem. The result is illustrated by an example nonlinear satisfying all assumptions theorem.

In this paper, for a given compact 3-manifold with an initial Riemannian metric and symmetric tensor, we establish the short-time existence uniqueness theorem extension of cross curvature flow. We give example flow on manifolds.

Abstract We study a conformable fractional nonlocal thermistor problem on time scales. Under an appropriate nonrestrictive condition the resistivity function, we establish existence and uniqueness results. The proof is based use of Schauder’s point fixed theorem.

The aim of this paper is to study a comprehensive dynamics system called fractional fuzzy differential variational inequality, which composed nonlinear equation with Atangana-Baleanu derivative and time-dependent inequality. We explore an existence uniqueness theorem for the under consideration. Our proof based on F-KKM theorem, Banach fixed point principle, theory monotone operators.

In this paper, linear second-order differential equations of Sturm-Liouville type having a finite number of singularities and turning points in a finite interval are investigated. First, we obtain the dual equations associated with the Sturm-Liouville equation. Then, we prove the uniqueness theorem for the solutions of dual initial value problems.

In this paper, we study the existence and uniqueness of solutions for a coupled implicit system involving ψ-Riemann–Liouville fractional derivative with nonlocal conditions. We first transformed problem into an integral then analyzed by means Banach fixed-point theorem Krasnoselskiis theorem. Some known results in literature are extended. Finally, example is given to illustrate our theoretical ...

Nonlinear coupled system of fractional Langevin equations with new boundary conditions are considered. By using fixed point theorem and calculus, existence uniqueness solution for the considered problem studied. Finally, an example is constructed to illustrate obtained results.

There is an interesting potential theory associated to each degenerate elliptic, fully nonlinear equation f(Du) = 0. These include all the potential theories attached to calibrated geometries. This paper begins the study of tangents to the subsolutions in these theories, a topic inspired by the results of Kiselman in the classical plurisubharmonic case. Fundamental to this study is a new invari...

In this paper, the aim to obtain existence and uniqueness of some common fixed point theorem on b-rectangular metric space by using new conditions including rational, maximum, minimum combination for two mappings.

In this paper, we establish the existence and uniqueness of a fixed point (α, β)-admissible almost z-contractions via simulation functions in metric-like spaces. Our results generalize unify several theorem literature.