Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets by Mingxu Yi, Kangwen Sun, Jun Huang, Lifeng Wang

“…A truncated CAS wavelets series together with this operational matrix is utilized to reduce the fractional integrodifferential equations to a system of algebraic equations. The solution of this system gives the approximation solution for the truncated limited 2k(2M+1). …”
Get full text

On the group of automorphisms of Horikawa surfaces by Lorenzo, Vicente

“…Minimal algebraic surfaces of general type $X$ such that $K^2_X=2\chi (\mathcal{O}_X)-6$ are called Horikawa surfaces. …”
Get full text

An Ascoli theorem for sequential spaces by Gert Sonck

“…We apply our theorem in the context of C*-algebras.…”
Get full text

Solution of Cauchy-Type Singular Integral Equations of the First Kind with Zeros of Jacobi Polynomials as Interpolation Nodes by G. E. Okecha

“…The problem is reduced to a system of linear algebraic equations. A theoretical convergence result for the approximation is provided. …”
Get full text

Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers by Hasan Gökbaş

“…Moreover, we obtain Binet’s formulas, generating function formulas, d’Ocagne’s identities, Catalan’s identities, Cassini’s identities and some sum formulas for these new type numbers and we investigate some algebraic proporties of these. Furthermore, we give the matrix representation of Gaussian-bihyperbolic Pell and Pell-Lucas numbers.…”
Get full text

On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method by Z. Pashazadeh Atabakan, A. Kazemi Nasab, A. Kılıçman

“…The main advantage of the proposed method is reducing the given problem to a set of algebraic equations. Some examples are given to approve the efficiency and the accuracy of the proposed method.…”
Get full text

Numerical Solution of the Fractional Partial Differential Equations by the Two-Dimensional Fractional-Order Legendre Functions by Fukang Yin, Junqiang Song, Yongwen Wu, Lilun Zhang

“…Then, by these matrices, a system of algebraic equations is obtained from FPDEs. Hence, by solving this system, the unknown 2D-FLFs coefficients can be computed. …”
Get full text

Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions by Sanjay Bhatter, Nishant -, Sunil Purohit

“…The right choice of integral transforms aids in simplifying both integral and differential problems into a solution-friendly algebraic equation. In this paper, $\mathscr{M}$-transform is applied to establish the image formula for the multiplication of a family of polynomials and incomplete $I$-functions. …”
Get full text

Control subgroups and birational extensions of graded rings by Salah El Din S. Hussein

“…In this paper, we establish the relation between the concept of control subgroups and the class of graded birational algebras. Actually, we prove that if R=⊕σ∈GRσ is a strongly G-graded ring and H⊲G, then the embedding i:R(H)↪R, where R(H)=⊕σ∈HRσ, is a Zariski extension if and only if H controls the filter ℒ(R−P) for every prime ideal P in an open set of the Zariski topology on R. …”
Get full text

A Linear Map Acts as a Leonard Pair with Each of the Generators of Usl2 by Hasan Alnajjar

“…Let ℱ denote an algebraically closed field with a characteristic not two. …”
Get full text

Global Well-Posedness and Large-Time Behavior for the Equilibrium Diffusion Model in Radiation Hydrodynamics by Peng Jiang, Jinkai Ni, Lu Zhu

“…The global existence of classical solutions to the Cauchy problem in the whole space is established when initial data is a small smooth perturbation of a constant equilibrium state: moreover, an algebraic rate of convergence of solutions toward equilibrium is obtained under additional conditions on initial data. …”
Get full text

Finite-Time Stability Criteria for a Class of High-Order Fractional Cohen–Grossberg Neural Networks with Delay by Zhanying Yang, Jie Zhang, Junhao Hu, Jun Mei

“…Moreover, the obtained criteria are expressed as some algebraic inequalities independent of the Mittag–Leffler functions, and thus, the calculation is relatively simple in both theoretical analysis and practical applications. …”
Get full text

Perihelion Precessions of Inner Planets in Einstein’s Theory and Predicted Values for the Cosmological Constant by Alvaro H. Salas S, Jairo E Castillo H, Lorenzo J. Martınez H

“…We give predictions about the value of the Cosmological Constant. Simple algebraic formulas allow to estimate perihelion shifts with high accuracy.…”
Get full text

Real-Time Trajectory Planning and Control for Constrained UAV Based on Differential Flatness by Dongli Wu, Hao Zhang, Yunping Liu, Weihua Fang, Yan Wang

“…The trajectory planning of UAV with nonholonomic constraints is usually taken as differential algebraic equation to solve the optimal control problem of functional extremum under the condition of inequality constraints. …”
Get full text

A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations by A. H. Bhrawy, M. A. Alghamdi

“…The main advantage of the shifted Jacobi-Gauss scheme is to reduce solving the generalized fractional neutral functional-differential equations to a system of algebraic equations in the unknown expansion. Reasonable numerical results are achieved by choosing few shifted Jacobi-Gauss collocation nodes. …”
Get full text

An Improved Collocation Approach of Euler Polynomials Connected with Bernoulli Ones for Solving Predator-Prey Models with Time Lag by Behrooz Basirat, Hamid Reza Elahi

“…The main characteristic of this approach is that it reduces the predator-prey model to a system of algebraic equations, which greatly simplifies the problem. …”
Get full text

Generalized affine transformation monoids on Galois rings by Yonglin Cao

“…The generalized affine transformation monoid Gaff(A) is defined as the set of all transformations on A of the form x↦xu+a (for all x∈A), where u,a∈A. We study the algebraic structure of the monoid Gaff(A) on a finite Galois ring A. …”
Get full text

A note on rings of continous functions by J. S. Yang

“…We show that the theorem there is a completely regular space Y associated with a given topological space X such that C(Y,R) is isomorphic to C(X,R) may be extended to a fairly large class of topologlcal rings, and that, in the study of algebraic structure of the ring C(X,A), it is sufficient to study C(X,R) if A is path connected.…”
Get full text

On equivariant bundles and their moduli spaces by Damiolini, Chiara

“…Let $G$ be an algebraic group and $\Gamma $ a finite subgroup of automorphisms of $G$. …”
Get full text

Classes of Int-Soft Filters in Residuated Lattices by Young Bae Jun, Sun Shin Ahn, Kyoung Ja Lee

“…Finally, it is shown that the notion of an MV-int-soft filter coincides with the notion of a regular int-soft filter in BL-algebras.…”
Get full text