In this paper, we study a coupled system of nonlinear fractional differential equations with multi-point boundary condi- tions. The differential operator is taken in the Riemann-Liouville sense. Applying the Schauder fixed-point theorem and the contrac- tion mapping principle, two existence results are obtained for the following system D^{alpha}_{0+}x(t)=fleft(t,y(t),D^{p}_{0+}y(t)right), t in (0,...

In this paper, we defined the interval form of \(\alpha, \beta\) level set for triangular q-rung orthopair fuzzy (qROPF) number. To obtain a differentiability notion qROPF valued functions, Hukuhara (H-differentiability) and level-wise H-differentiability is defined. Using KKT optimality condition optimization problem with objective function are formulated.

In this paper, the partial derivatives Bp,q(x, y) = ∂ ∂xp∂yq B(x, y) of the Beta function B(x, y) are expressed in terms of a finite number of the Polygamma function, where p and q are non-negative integers, x and y are complex numbers. In particular, Bp,q(x, y) can be expressed by the Riemann zeta function if x is equal to n or n + 1 2 and y is equal to m or m + 1 2 , where n and m are integer...

Statefinder diagnostic is a convenient method that can differentiate between the various dark energy models. In this article, we analyze statefinder parameters in symmetric teleparallel cosmology. The $f(Q)$ gravity theory an alternative to GR, where gravitational interactions attribute non-metricity scalar $Q$. present work, consider two models which contains linear and non-linear form of scal...

Abstract Let f f be a transcendental entire function of finite order with Picard exceptional value β ∈ C \beta \in {\mathbb{C}} , q \ { 0 , 1 }...

It is well-known that many generalized integrals can be expressed by the Beta function B(x, y). In this paper, some relations between the generalized integrals and partial derivatives Bp,q(x, y) of the Beta function B(x, y) are given. Moreover, an algorithm for computing B(x, y) and Bp,q(x, y) has been developed. Finally, numerical examples show that the algorithm can be applied to compute some...

OBJECTIVES This study investigated early electrocardiographic findings in relation to left ventricular (LV) function, extent and size of infarction, and microvascular injury in patients with acute myocardial infarction (MI) treated with percutaneous coronary intervention (PCI). BACKGROUND The electrocardiogram (ECG) is the most used and simplest clinical method to evaluate the risk for patien...