Abstract This article presents a higher-order circular intuitionistic fuzzy time series forecasting method for predicting the stock change index, which is shown to be an improvement over traditional methods. The based on principles of set theory. It uses both positive and negative membership values radius handle uncertainty imprecision in data. circularity also taken into consideration, leading more accurate robust forecasts. capability this provides comprehensive predictions compared...

Abstract In this article, we solve the system of additive functional equations: <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"> <m:mfenced open="{" close=""> <m:mrow> <m:mspace depth="1.25em" /> <m:mtable displaystyle="true"> <m:mtr> <m:mtd columnalign="left"> <m:mn>2</m:mn> <m:mi>f</m:mi> <m:mo>(</m:mo> <m:mi>x</m:mi> <m:mo>+</m:mo> <m:mi>y</m:mi> </m:mrow> <m:mo>)</m:mo> <m:mo>−</m:mo> <m:mi>g</m:mi> <m:mo>=</m:mo> <m:mo>,</m:mo> </m:mtd> </m:mtr> <m:mn>4</m:mn>...

Currently, immunotherapy is seen to be the most effective cancer treatment. This especially true while treating chronic lymphocytic leukemia (CLL), a slow-growing B-lymphocyte neoplasm that gradually compromises immune system. Mathematical modeling acknowledged as key technique for analyzing theoretical and practical challenges in this field of research others. We were inspired develop mathematical model because its dearth investigations chemotherapy-induced CLL. study effort formulates...

Abstract In this article, we obtain an extension of the classical Hermite-Hadamard inequality for convex functions (concave functions) extending it to power <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mrow> <m:mo>[</m:mo> </m:mrow> <m:mi>f</m:mi> <m:mo>(</m:mo> <m:mi>x</m:mi> <m:mo>)</m:mo> <m:mo>]</m:mo> <m:mi>n</m:mi> </m:msup> </m:math> {[f\left(x)]}^{n} . Some related inequalities are also introduced. By applying those results in analysis, new upper and lower bounds...

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In this article, we consider the following functional equation:(1)Using direct and fixed point methods, obtain Hyers-Ulam stability of proposed equation.

&lt;abstract&gt;&lt;p&gt;This paper aims to investigate a new type of derivations in fuzzy Banach algebra. Moreover, by using the fixed point method, we obtain some stability results hom-der algebras associated with functional equation&lt;/p&gt; &lt;p&gt;&lt;disp-formula&gt; &lt;label/&gt; &lt;tex-math id="FE1"&gt; \begin{document}$ f(x+{\textbf{k}}y) = f(x)+{\textbf{k}}f(y) $\end{document} &lt;/tex-math&gt;&lt;/disp-formula&gt;&lt;/p&gt; &lt;p&gt;where $ {\textbf{k}} is positive integer...

Abstract In this work, a system of nonlinear, switched, coupled, implicit, impulsive Langevin equations with two Hilfer fractional derivatives is introduced. The suitable conditions and results are established to discuss existence, uniqueness, Ulam-type stability the mentioned model, help nonlinear functional analysis techniques Banach’s fixed-point theorem. Furthermore, we examine our example.

The present research explains the study of two dimensional Casson nanoliquid infinite motion on linearly elongating porous sheet using Brinkmann-Forcheiemerr medium. we involved mathematical models to impact a heat source/sink over unsteady thin film nano liquid sheet. Using Similarity transformation, ggoverning PDE’s are transferred into coupled ODE’s. Runge-Kutta Fehlberg method is used for solving system ordinary dimensionless differential equations. Brinkmann equations illustrate fluid...

In this paper, we introduce the pioneering trigintic functional equation. Moreover, establish general solution of equation and prove Hyers-Ulam sum product stabilities same in multi-Banach spaces by employing fixed point approach.

The aim of the current manuscript is to prove Hyers-Ulam stability supremum, infimum and multiplication preserving functional equations in Banach <i>f</i> -algebras. In fact, by using direct method fixed point method, proved.

Abstract The concept of operator frame can be considered as a generalization frame. Firstly, we introduce the notion for set all adjointable operators Hom ∗ A (X ) on Hilbert pro-C -module X . analysis operator, synthesis and are presented. Secondly, study stability under small perturbations. We also tensor product -modules. Finally, establish its dual some properties. AMS Subject Classification: Primary 42C15; 46L05

Abstract In this paper, we introduce the notion of a disturbed Fibonacci sequence and obtain several properties related to sequences apply rabbit farm adjust numbers rabbits. AMS Subject Classification: Primary; 11B39, 39A05; secondary 39A22

Abstract This article presents the general solution <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>f</m:mi> <m:mo>:</m:mo> <m:mi class="MJX-tex-caligraphic" mathvariant="script">G</m:mi> <m:mo>→</m:mo> mathvariant="script">V</m:mi> </m:math> f:{\mathcal{G}}\to {\mathcal{V}} of following functional equation: xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"> <m:mrow> <m:mo>(</m:mo> <m:mi>x</m:mi> </m:mrow> <m:mo>)</m:mo> <m:mo>−</m:mo> <m:mn>4</m:mn> <m:mo>+</m:mo>...

We study the notion of a quadratic Lie hom-der in Banach algebra associated with functional equation f(x+y2+z)+f(x+y2−z)+f(x−y2+z)+f(x−y2−z)=f(x)+f(y)+4f(z), which was first introduced by Park, Hong and Kim (2006). also present relation between above on certain groups. Finally, we prove some stability results hom-ders algebras using Hyers’ direct method.