Dynamic systems such as robots, autonomous vehicles, and process plants require careful design control to achieve optimal performance. This paper presents an integrated framework for the simultaneous optimization of system parameters policies. The underlying mathematical formulation utilizes techniques find best configuration strategy according specified objectives. These objectives may include metrics tracking error, energy consumption, safety margins, cost. Both model-based data-driven are...

Abstract The accuracy of analytical obtained solutions the fractional nonlinear space–time telegraph equation that has been constructed in (Hamed and Khater J. Math., 2020) is checked through five recent semi-analytical numerical techniques. Adomian decomposition (AD), El Kalla (EK), cubic B-spline (CBS), extended (ECBS), exponential (ExCBS) schemes are used to explain matching between approximate solutions, which shows traveling wave solutions. In 1880, Oliver Heaviside derived considered...

Abstract Stretched flows have numerous applications in different industrial, biomedical and engineering processes. Current research is conducted to examine the flow phenomenon of Prandtl fluid model over a moveable surface. The mass thermal transportation based on generalized theory Cattaneo–Christov which considers involvement relaxation times. In addition these, variable characteristics conductivity diffusion coefficient are considered as function temperature. physical problem Cartesian...

It is notable that, the nonlocal reaction-diffusion equation carries math and computational physics to core of extremely dynamic multidisciplinary studies that emerge from a huge assortment uses. In this investigation, totally new methodology for building locally numerical pointwise solution given by agent reproducing kernel algorithm. This done utilizing couple generalized Hilpert spaces their corresponding Green functions. The proposed calculation algorithm applied certain scalar issues...

<abstract><p>In this article, a new generalized $ q $-Mittag-Leffler function is introduced and investigated. Motivated by the newly defined using concept of differential subordination, subclass multivalent functions introduced. Some geometric properties them are obtained. Furthermore, radii for aforementioned associated with Srivastava-Attiya integral operator also studied.</p></abstract>

<abstract><p>In this paper, we introduce the concept of hyper homomorphisms and derivations in Banach algebras establish stability for following 3-additive functional equation:</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{align*} g(x_1+x_2, y_1+y_2, z_1+z_2) = \sum\limits_{i, j, k 1}^2 g(x_i, y_j, z_k). \end{align*} $\end{document} </tex-math></disp-formula></p> </abstract>

Abstract In this article, we introduce the concept of orthogonal m -metric space and prove some fixed point theorems in space. Furthermore, obtain results that extend improve certain comparable existing literature. Eventually, our lead us to existence uniqueness solutions for Fredholm integral equations.

Abstract In this paper, we introduce a new integral transform, namely Aboodh and apply the transform to investigate Hyers–Ulam stability, Hyers–Ulam–Rassias Mittag-Leffler–Hyers–Ulam Mittag-Leffler–Hyers–Ulam–Rassias stability of second order linear differential equations.

Abstract In this study, we develop the concept of multivalued Suzuki-type θ -contractions via a gauge function and established two new related fixed point theorems on metric spaces. We also discuss an example to validate our results.

Let X , Y be vector spaces and k a fixed positive integer. It is shown that mapping f ( x + y ) - = 2 for all ∈ if only the : → satisfies . Furthermore, Hyers‐Ulam‐Rassias stability of above functional equation in Banach proven.

Abstract In this paper, we prove the Hyers-Ulam stability of Cauchy additive functional equation and quadratic in matrix normed spaces. MSC: 47L25, 39B82, 46L07, 39B52.

<abstract><p>We propose the concept of orthogonally triangular $ \alpha $-admissible mapping and demonstrate some fixed point theorems for self-mappings in orthogonal complete metric spaces. Some well-known outcomes literature are generalized expanded by our results. An instance to help outcome is presented. We also explore applications key results.</p></abstract>

In quantitative structure-property relationship (QSPR) and structure-activity (QSAR) studies, computation of topological indices is a vital tool to predict biochemical physio-chemical properties chemical structures. Numerous have been inaugurated describe different features. The ev ve-degree are recently introduced novelties, having stronger prediction ability. this article, we derive formulae the ev-degree based for structure <i>Si</i>₂<i>C</i>₃ − <i>I</i>[<i>a</i>,<i>b</i>].

In this paper, we solve the additive functional inequality � f(x + y) − f(x) f(y) �≤ f x y

The aim of this work is to introduce a new mixed type quadratic-additive functional equation, obtain its general solution and investigate Ulam stability by using Hyers method in random normed spaces.

Pythagorean cubic set (PCFS) is the combination of fuzzy (PFS) and interval-valued (IVPFS). PCFS handle more uncertainties than PFS IVPFS thus are extensive in their applications. The objective this paper under to establish some novel operational laws corresponding Einstein weighted geometric aggregation operators. We describe (PCFEWG) operators multiple attribute group decision-making problems. desirable relationship characteristics proposed operator discussed detail. Finally, a descriptive...

In this article, we prove the Hyers-Ulam stability of an additive-quadratic-cubic-quartic functional equation in paranormed spaces. Mathematics Subject Classification (2010): Primary 39B82; 39B52; 39B72; 46A99.

Abstract In this paper, we prove the Hyers-Ulam stability of Cauchy additive functional inequality, equation and quadratic in matrix paranormed spaces. MSC: 47L25, 39B82, 39B72, 46L07, 39B52, 39B62.

In this paper, we introduce a mixed type finite variable functional equation deriving from quadratic and additive functions obtain the general solution of investigate Hyers-Ulam stability for in quasi-Banach spaces.

Abstract The main aim of this paper is to investigate various types Ulam stability and Mittag-Leffler linear differential equations first order with constant coefficients using the Aboodh transform method. We also obtain Hyers–Ulam constants these some examples illustrate our results are given.

We prove the generalized Hyers‐Ulam stability of following quadratic functional equations 2 f (( x + y )/2) − = ( ) and a in fuzzy Banach spaces for nonzero real number with ≠ ±1/2.