Positive Solutions for a System of Nonlinear Semipositone Boundary Value Problems with Riemann-Liouville Fractional Derivatives by Xiaowei Qiu, Jiafa Xu, Donal O’Regan, Yujun Cui

“…We study the existence of positive solutions for the system of nonlinear semipositone boundary value problems with Riemann-Liouville fractional derivatives D0+αD0+αu=f1t,u,u′,v,v′,  0<t<1, D0+αD0+αv=f2(t,u,u′,v,v′),  0<t<1, u0=u′0=u′(1)=D0+αu(0)=D0+α+1u(0)=D0+α+1u(1)=0, and v(0)=v′(0)=v′(1)=D0+αv(0)=D0+α+1v(0)=D0+α+1v(1)=0, where α∈(2,3] is a real number and D0+α is the standard Riemann-Liouville fractional derivative of order α. …”
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Efficient Hybrid Iterative Method for Signal Detection in Massive MIMO Uplink System over AWGN Channel by Zelalem Melak Gebeyehu, Ram Sewak Singh, Satyasis Mishra, Davinder Singh Rathee

“…The proposed algorithm’s performance and complexity are compared with existing algorithms based on BER and the real number of multiplications, respectively. The numerical results revealed that the proposed algorithm achieves the desired performance with a small number of iterations and a significant reduction in computational complexity. …”
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PlaceField2BVec: A bionic geospatial location encoding method for hierarchical temporal memory model by Zugang Chen, Shaohua Wang, Kai Wu, Guoqing Li, Jing Li, Jian Wang

“…However, all these geospatial location encoders were designed to generate a real number vector. So, when applied to some of the brain-inspired neural networks, such as Hierarchical Temporal Memory (HTM), which required the input of a binary vector, the existing methods failed. …”
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On Trees with a Given Number of Vertices of Fixed Degree and Their Two Bond Incident Degree Indices by Abeer M. Albalahi, Muhammad Rizwan, Akhlaq A. Bhatti, Ivan Gutman, Akbar Ali, Tariq Alraqad, Hicham Saber

“…Moreover, in the family of all trees of fixed order and with a given number of vertices of even degrees, the extremum values of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>E</mi><msub><mi>I</mi><mi>a</mi></msub></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mmultiscripts><mi>R</mi><mi>α</mi><none></none><mprescripts></mprescripts><none></none><mn>0</mn></mmultiscripts></mrow></semantics></math></inline-formula> are found for every real number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi><mo>∉</mo><mo>{</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>}</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>a</mi><mo>></mo><mn>1</mn></mrow></semantics></math></inline-formula>. …”
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COVID-19 – if the cure is worse than the disease. The Italian chaos by Giuseppe FERRARI

“…Although the belief that the real number of active cases is roughly ten times the official one is concrete, nobody is currently in the position to provide a more accurate estimate. …”

Global Attractivity and Periodic Character of Difference Equation of Order Four by M. A. Obaid, E. M. Elsayed, M. M. El-Dessoky

“…We investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence , where the parameters , andare positive real numbers and the initial conditions , and are positive real numbers.…”
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Qualitative Behavior of Rational Difference Equation of Big Order by M. M. El-Dessoky

“…We investigate the global convergence, boundedness, and periodicity of solutions of the recursive sequence xn+1=axn-l+bxn-x/c+dxn-lxn-k, n=0,1,…, where the parameters a,  b,  c, and d are positive real numbers, and the initial conditions x-t,x-t+1,…,x-1 and x0 are positive real numbers where t=maxk,l.…”
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On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)] by Dağistan Şimşek, Burak Oğul

“…= x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. …”
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Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation by M. M. El-Dessoky, E. M. Elabbasy, Asim Asiri

“…The main objective of this paper is to study the behavior of the rational difference equation of the fifth-order yn+1=αyn+βynyn-3/(Ayn-4+Byn-3), n=0,1,…, where α,β,A, and B are real numbers and the initial conditions y-4,y-3,y-2,y-1 and y0 are positive real numbers such that Ay-4+By-3≠0. …”
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Solutions Of The Rational Difference Equations by D. Şimşek, B. Oğul

“…In this paper the solutions of the following difference equation is examined, (1)where the initial conditions are positive real numbers.…”
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Solutions Of The System Of Maximum Difference Equations by D. Şimşek, B. Oğul

“… (1) Where the initial conditions are positive real numbers.…”
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Solutions of the system ofmaximum difference equations by D. Şimşek, M. Eröz

“…The behaviour and periodicity of the solutions of the following system of difference equations is examined (1) where the initial conditions are positive real numbers.…”
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A System of Two Diophantine Inequalities with Primes by Xue Han, Huafeng Liu, Deyu Zhang

“…In this paper, we prove that there exist positive real numbers N10 and N20 depending on c,d,α,β such that for all real numbers N1>N10, N2>N20 and α≤N2/N1d/c≤β, the system of two Diophantine inequalities p1c+⋯+p6c−N1<N1−1/c128/119−clog109N1,p1d+⋯+p6d−N2<N2−1/d128/119−dlog109N2 is solvable in prime variables p1,…,p6.…”
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On Some New Hermite-Hadamard Type Inequalities for s-Geometrically Convex Functions by İmdat İşcan

“…Some new integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions are established and some applications to special means of positive real numbers are also given.…”
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Generalization of Some Simpson-Like Type Inequalities via Differentiable s-Convex Mappings in the Second Sense by Jaekeun Park

“…Also, some applications to special means of real numbers are given.…”
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Solutions Form for Some Rational Systems of Difference Equations by H. El-Metwally

“…We deal with the form of the solutions for the following systems of rational difference equations , , with nonzero real numbers initial conditions. Also we investigate some properties of the obtained solutions and present some numerical examples.…”
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On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α by Hacer Şengül Kandemir, Mikail Et, Hüseyin Çakallı

“…The main object of this article is to introduce the concepts of (f, ρ)− statistical convergence of order α and strong (f, ρ)− summability of order α of sequences of real numbers and give some inclusion relations between these spaces.…”
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New Hermite–Hadamard Type Inequalities for ψ-Riemann–Liouville Fractional Integral via Convex Functions by Yining Sun, Run Xu

“…As applications, we applied the inequalities to special means of real numbers and constructed inequalities for the beta function.…”
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Approximation on the Quadratic Reciprocal Functional Equation by Abasalt Bodaghi, Sang Og Kim

“…The Ulam stability problem for an ϵ-quadratic reciprocal mapping f:X→Y between nonzero real numbers is solved. The Găvruţa stability for the quadratic reciprocal functional equations is established as well.…”
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On the Solutions of the System of Difference Equations xn+1=max{A/xn,yn/xn}, yn+1=max{A/yn,xn/yn} by Dağistan Simsek, Bilal Demir, Cengiz Cinar

“…We study the behavior of the solutions of the following system of difference equations xn+1=max⁡{A/xn,yn/xn}, yn+1=max⁡{A/yn,xn/yn} where the constant A and the initial conditions are positive real numbers.…”
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