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Generalized Approach to Differentiability
Mathematics, 2022 In the traditional approach to differentiability, found in almost all university textbooks, this notion is considered only for interior points of the domain of function or for functions with an open domain.
Nikola Koceić-Bilan, Snježana Braić
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Continuous Differentiability in the Context of Generalized Approach to Differentiability
Mathematics, 2023 Recently, in their paper, the authors generalized the notion of differentiability by defining it for all points of the functional domain (not only interior points) in which the notion of differentiability can be considered meaningful.
Nikola Koceić-Bilan, Snježana Braić
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An Extension of the Carathéodory Differentiability to Set-Valued Maps
Abstract and Applied Analysis, 2021 This paper uses the generalization of the Hukuhara difference for compact convex set to extend the classical notions of Carathéodory differentiability to multifunctions (set-valued maps). Using the Hukuhara difference and affine multifunctions as a local
Pedro Hurtado +3 more
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Continuity and Differentiability of Solutions with Respect to Initial Conditions and Peano Theorem for Uncertain Differential Equations [PDF]
Mathematics Interdisciplinary Research, 2022 In this paper we study the dependence of solutions of uncertain initial value problems (UIVP) on the initial values. Introducing a contraction mapping and using Banach Fixed Point Theorem (BFPT), the existence and uniqueness (EaU) of solutions of the ...
Vahid Roomi, Hamid Ahmadi
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Derivative for Functions f:G→H, Where G Is a Metric Divisible Group
Mathematics, 2022 In this paper, a derivative for functions f:G→H, where G is any metric divisible group and H is a metric Abelian group with a group metric, is defined. Basic differentiation theorems are stated and demonstrated. In particular, we obtain the Chain Role.
Héctor Andrés Granada Díaz +2 more
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Plane Section Curves on Surfaces of NCP Functions
Axioms, 2022 The goal of this paper is to investigate the curves intersected by a vertical plane with the surfaces based on certain NCP functions. The convexity and differentiability of these curves are studied as well.
Shun-Wei Li +2 more
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Functions in one space of four-dimensional numbers
Вестник КазНУ. Серия математика, механика, информатика, 2021 For the first time, the theory of functions of four-dimensional numbers with commutative product was described in works of Abenov M.M., in which the mathematical apparatus was defined, algebraic operations and their properties were determined, functions ...
A. T. Rakhymova +2 more
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“Holographic Implementations” in the Complex Fluid Dynamics through a Fractal Paradigm
Mathematics, 2021 Assimilating a complex fluid with a fractal object, non-differentiable behaviors in its dynamics are analyzed. Complex fluid dynamics in the form of hydrodynamic-type fractal regimes imply “holographic implementations” through velocity fields at non ...
Alexandra Saviuc +4 more
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Fuzzy Information and Engineering, 2023 This paper considers fuzzy boundary value problems associated with second-order fuzzy differential equations under granular differentiability. Using a horizontal membership function, we present the notion of second-order granular differentiability for ...
Nagalakshmi Soma +4 more
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Solution for a System of First-Order Linear Fuzzy Boundary Value Problems
International Journal of Analysis and Applications, 2023 In this paper, we consider homogeneous and non-homogeneous system of first order linear fuzzy boundary value problems (SFOLBVPs) under granular differentiability.
S. Nagalakshmi +2 more
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