Showing papers in "Arab Journal of Mathematical Sciences in 2021"

TL;DR: In this article, the authors discuss the solvability of a class of nonlinear anisotropic elliptic problems (P), with the presence of a lower-order term and a non-polynomial growth which does not satisfy any sign condition which is described by an N-uplet of N-functions satisfying the Δ2-condition.

TL;DR: In this article, a productive technique, called the rational fractional (DξαG/G)-expansion method, was proposed to unravel the nonlinear space-time fractional potential Kadomtsev-Petriashvili (PKP) equation, the non-linear space time fractional Sharma-Tasso-Olver (STO) equation and the non linear space timespan fractional Kolmogorov-Petrovskii-Piskunov (KPP) equation.

TL;DR: In this paper, an algorithm for finding a zero of the sum of two maximally monotone mappings in Hilbert spaces is presented, and the convergence of the algorithm is proved.

TL;DR: In this paper, a hybrid iterative process for contraction mappings is defined, which is a hybrid of Picard and S-iterative process, which converges faster than all of the existing iterative processes.

TL;DR: In this paper, the H -structure and the H-substructure connectivity of the circulant graph Cir ( n, Ω ) where Ω = { 1 ≤ k ≤ ⌊ n 2 ⌋ and the hypercube Q n for some connected subgraphs H.

TL;DR: In this article, the authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces.

TL;DR: In this paper, a necessary and sufficient condition for an operator on L 2 (T n ) to be slant Toeplitz operator was established, along with several properties of slant TEEplitz operators.

TL;DR: In this article, the structure of nilpotent (n+6)-dimensional n-Lie algebras of class 2 when n ≥ 4 was determined. But the structure was not defined.

TL;DR: In this article, Chen et al. established a relationship for the squared norm of the second fundamental form (an extrinsic invariant) of warped product bi-slant submanifolds of Kaehler manifolds.

TL;DR: In this paper, the existence of warped product pointwise semi-slant submanifolds of cosymplectic space forms is investigated and a sharp estimate for the squared norm of the second fundamental form is investigated, the equality case is also discussed.

TL;DR: In this paper, the Riemannian curvature invariants of S-manifolds of Di-geodesic and Di-umbilical bi-slant subsets are computed, and some results are discussed with the help of these invariants.

TL;DR: In this article, the authors introduced a new class of natural metrics denoted by gf and called gradient Sasaki metric on the tangent bundle TM, which can be used to measure curvature, scalar and sectional curvatures.

TL;DR: In this article, the Hilbert 2-class field tower for some quartic number fields k whose 4-class group C k, 2 is isomorphic to Z ∕ 2 Z × Z ∆ ∆ 2 Z.

TL;DR: A matrix is a Q 0 -matrix if for every k ∈ { 1, 2, …, n }, the sum of all k × k principal minors is nonnegative as mentioned in this paper.

TL;DR: In this article, the geometry of screen real light-like submanifolds of metallic semi-Riemannian manifolds has been studied and the sufficient conditions for the radical and screen distribution of screen-real lightlike sub-mansifolds, to be integrable and to have totally geodesic foliation, have been established.

TL;DR: In this article, the α-connections on statistical manifolds were studied and a relation between the curvature tensors of a statistical manifold and its difference tensor was established.

TL;DR: In this paper, the authors show the existence results for adapted solutions of infinite horizon doubly reflected backward stochastic differential equations with jumps and prove the existence of processes using Envelope Snell to find an optimal strategy of our control problem.

TL;DR: In this article, a fitted nonpolynomial spline method for singularly perturbed boundary value problem with both small and large delay is proposed, and its uniform convergence is proved.

TL;DR: In this paper, the applicability of the a priori estimate method on a nonlocal nonlinear fractional differential equation for which the weak solution's existence and uniqueness are proved is described.

TL;DR: In this paper, the authors showed the complete extinction of a continuous weak solution at a finite time for the case of p-Laplacian, and the authors presented the finite extinction time of a weak solution for the Laplacians case.

TL;DR: In this article, the authors studied the geometrical properties of the Bertotti-Kasner space-time and its geometric properties using the Weyl conformal tensor and the technique of six-dimensional formalism.

TL;DR: In this paper, the authors considered an invariant light-like submanifold M, whose transversal bundle tr(TM) is flat, in an indefinite Sasakian manifold M¯(c) of constant φ¯-sectional curvature c. Under some geometric conditions, they showed that M¯ is a space of constant curvature 1.

TL;DR: In this article, the authors study the existence and multiplicity of solutions for a nonlinear discrete boundary value problems involving the p-laplacian, which is based on variational methods and critical point theory.

TL;DR: In this paper, the authors examined the characteristics of Clairaut submersions from Lorentzian trans-Sasakian manifolds of type (α, β) and also enhanced this geometrical analysis with some specific cases.

TL;DR: In this article, the relationship between an entire function of restricted hyper-order with its linear c-shift operator was found under the periphery of sharing a set of two small functions (ignoring multiplicities) when exponent of convergence of zeros is strictly less than its order.

TL;DR: In this paper, it was shown that if G=(V,E) is a graph and k is an integer, 2 ǫ≤k 2 √ n−2, then there is a k-element subset K of V such that e(G¯↾K)≠e(G↾k) for all integer n∈{2,3,…,v}.

TL;DR: In this article, the Bruck conjecture can be generalized for differential monomials under some additional conditions and it generalizes some works related to the conjecture, such as Pramanik et al.,39B32, 30D35.

TL;DR: In this article, the authors considered CPE on almost f-cosymplectic manifolds and proved that the CPE conjecture is true for almost f cosymetric manifolds.