Proyecciones (Antofagasta, On line)

An inverse source time-fractional diffusion problem via an input-output mapping

2020-08-09T02:02:31+00:00

In this paper, we investigate an inverse source problem involving a one-dimensional diffusion equation of a time-fractional RiemannLiouville derivative with 0 < α < 1. First, results on the existence and regularity of the weak solution of the direct problem are obtained. For the determination of the unknown time-dependent source term, we use a monotone and distinguishable input-output mapping defined by the additional over-determination integral data for the considered sub-diffusion problem. Finally, the uniqueness of the solution of the inverse problem is proved.

Study of some algebraic and topological properties of difference gai sequence of interval numbers

2022-01-24T04:43:47+00:00

Here we have studied some algebraic and topological properties of Difference Gai Sequence of Interval numbers. We study the Completeness, Solidness, Symmetricity and Convergence free.

Analytic odd mean labeling of union and identification of some graphs

2023-05-07T22:28:32+00:00

A graph G is analytic odd mean if there exist an injective function f : V → {0, 1, 3, . . . , 2q − 1} with an induced edge labeling f^∗ : E → Z such that for each edge uv with f(u) < f(v),

is injective. Clearly the values of f^∗ are odd. We say that f is an analytic odd mean labeling of G. In this paper, we show that the union and identification of some graphs admit analytic odd mean labeling by using the operation of joining of two graphs by an edge.

Hyers-Ulam-Rassias stability of some perturbed nonlinear second order ordinary differential equations

2023-02-28T13:08:10+00:00

In this paper we investigate the Hyers-Ulam-Rassias stability of a perturbed nonlinear second order ordinary differential equation using Gronwall-Bellman-Bihari type integral inequalities. Further, the paper also investigates the Hyers-Ulam-Rassias stability of four different cases of a perturbed nonlinear second order differential equation.

Grundy number of corona product of some graphs

2022-10-26T14:00:20+00:00

The Grundy number of a graph G is the maximum number k of colors used to color the vertices of G such that the coloring is proper and every vertex u colored with color i, 1 ≤ i ≤ k, is adjacent to i – 1 vertices colored with each color j, 1 ≤ j ≤ i − 1. In this paper we obtain the Grundy number of corona product of some graphs, denoted by G ◦ H. First, we consider the graph G be 2-regular graph and H be a cycle, complete bipartite, ladder graph and fan graph. Also we consider the graph G and H be a complete bipartite graphs, fan graphs.

Nonlocal partial fractional evolution equations with state dependent delay

2022-10-24T13:10:11+00:00

In this work, we propose sufficient conditions guaranteeing an existence result of mild solutions by using the nonlinear Leray-Schauder alternative in Banach spaces combined with the semigroup theory for the class of Caputo partial semilinear fractional evolution equations with finite state-dependent delay and nonlocal conditions.

An application of the Stone-Weierstrass Theorem

2022-08-01T17:44:54+00:00

Let (X, τ) be a topological space, we will denote by |X|,|X|_K, |X|τ and |X|_δ, the cardinalities of X; the family of compacts in X; the family of closed in X, and the family of G_δ-closed in X, respectively. The purpose of this work is to establish relationships between these four numbers and conditions under which two of them coincide or one of them is ≤ c, where c denotes, as usual, the cardinality of the set of real numbers R. We will use the Stone-Weierstrass theorem to prove that: Let (X, τ) be a compact Hausdorff topological space, then |X|_δ ≤ |X|^ℵ⁰

Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral

2022-08-28T14:03:02+00:00

In this note, starting with a lemma, we obtain several extensions of the

well-known Hermite-Hadamard inequality for convex functions, using

generalized weighted integral operators.

K-Riesz bases and K-g-Riesz bases in Hilbert C∗-module

2022-11-03T09:31:23+00:00

This paper is devoted to studying the K-Riesz bases and the K-g-Riesz bases in Hilbert C^∗-modules; we characterize the concept of K-Riesz bases by a bounded below operator and the standard orthonormal basis for Hilbert C^∗-modules H. Also We give some properties and characterization of K-g-Riesz bases by a bounded surjective operator and g-orthonormal basis for H. Finally we consider the relationships between K-Riesz bases and K-g-Riesz bases.

Note on modified generalized Bessel function

2022-12-26T08:27:03+00:00

An attempt is made to define Modified Generalized Bessel Function, and Modified Generalized Bessel Matrix Function. Some properties have also been discussed.

Characterization of prime rings having involution and centralizers

2023-02-22T13:09:12+00:00

The major goal of this paper is to study the commutativity of prime rings with involution that meet specific identities using left centralizers. The results obtained in this paper are the generalization of many known theorems. Finally, we provide some examples to show that the conditions imposed in the hypothesis of our results are not superfluous.

On weakly (m, n)−closed δ−primary ideals of commutative rings

2022-11-25T12:43:27+00:00

Let R be a commutative ring with 1 ̸= 0. In this article, we introduce the concept of weakly (m, n)−closed δ−primary ideals of R and explore its basic properties. We show that a proper ideal I of R is a weakly (m, n)−closed γ ◦ δ−primary ideal of R if and only if I is an (m, n)−closed γ ◦ δ−primary ideal of R, where δ and γ are expansions ideals of R with δ(0) is an (m, n)−closed γ−primary ideal of R. Furthermore, we provide examples to demonstrate the validity and applicability of our results.

On local antimagic chromatic numbers of circulant graphs join with null graphs or cycles

2023-01-16T20:38:38+00:00

An edge labeling of a graph G = (V,E) is said to be local antimagic if there is a bijection f : E → {1,..., |E|} such that for any pair of adjacent vertices x and y, f ⁺(x) ≠ f ⁺(y), where the induced vertex label is f ⁺(x) = 𝜮 f(e), with e ranging over all the edges incident to x. The local antimagic chromatic number of G, denoted by χ_la(G), is the minimum number of distinct induced vertex labels over all local antimagic labelings of G. For a bipartite circulant graph G, it is known that χ(G)=2 but χ_la(G) ≥ 3. Moreover, χ_la(C_n ∨ K₁)=3 (respectively 4) if n is even (respectively odd). Let G be a graph of order m ≥ 3. In [Affirmative solutions on local antimagic chromatic number, Graphs Combin., 36 (2020), 1337—1354], the authors proved that if m ≡ n (mod 2) with χ_la(G) = χ(G), m>n ≥ 4 and m ≥ n²/2, then χ_la(G∨O_n) = χ_la(G)+1. In this paper, we show that the conditions can be omitted in obtaining χ_la(G∨H) for some circulant graph G, and H is a null graph or a cycle. The local antimagic chromatic number of certain wheel related graphs are also obtained.

On fuzzy congruence relation in residuated lattices

2022-03-20T08:56:22+00:00

In this paper, we characterize some properties of fuzzy congruence relations and obtain a fuzzy congruence relation generated by a fuzzy relation in residuated lattices. For this purpose, two various types of fuzzy relations (regular and irregular) are introduced. In order to obtain a fuzzy congruence relation generated by an irregular fuzzy relation it must convert to a regular fuzzy relation.

Fractional ordered Euler Riesz difference sequence spaces

2022-10-08T08:53:47+00:00

In this article we introduce new sequence spaces c₀(^τ), c(^τ) and l_∞(^τ) of fractional order τ , consisting of an operator which is a composition of Euler-Riesz operator and fractional difference operator. Certain topological properties of these spaces are investigated along with Schauder basis and α−, β− and γ−duals.

On universal realizability in the left half-plane

2023-06-23T07:28:05+00:00

A list Λ = {λ₁, λ₂,..., λn} of complex numbers is said to be realizable if it is the spectrum of a nonnegative matrix. Λ is said to be universally realizable (UR) if it is realizable for each possible Jordan canonical form allowed by Λ. In this paper, using companion matrices and applying a procedure by Šmigoc, we provide sufficient conditions for the universal realizability of left half-plane spectra, that is, spectra Λ = {λ₁,...,λ_n} with λ₁ > 0, Re λ_i ≤ 0, i = 2, . . . , n. It is also shown how the effect of adding a negative real number to a not UR left half-plane list of complex numbers, makes the new list UR, and a family of left half-plane lists that are UR is characterized.