Caputo gH-differentiability for Gronwalls inequality: insight, new results and application
This paper investigates Gronwall’s inequality within the framework of interval-valued functions under Caputo gH-differentiability. Employing interval-valued Caputo fractional derivatives and associated interval-valued Riemann–Liouville integrals, we ...
Fatima Khan +5 more
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Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]
Guo J, Zhu X, Li W, Li H.
europepmc +1 more source
Stabilizability of fuzzy heat equation based on fuzzy Lyapunov function
This work aims to prove the stability of the fuzzy heat equation with non-fuzzy boundary conditions. Also, for problems with uncertainty, there is a difficulty in studying and proving the stability of fuzzy differential equations, since here we cannot ...
Zainab John +2 more
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Solving Pythagorean fuzzy partial fractional diffusion model using the Laplace and Fourier transforms. [PDF]
Akram M, Ihsan T.
europepmc +1 more source
A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
The main goal of the paper is to propose and analyze a generalization of the Hukuhara difference to the setting of interval and fuzzy arithmetic. First, the case of compact convex sets is examined; then, the results are applied to generalize the Hukuhara
STEFANINI, LUCIANO
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Study on generalized fuzzy fractional human liver model with Atangana-Baleanu-Caputo fractional derivative. [PDF]
Verma L, Meher R.
europepmc +1 more source
Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method. [PDF]
Jamal N +4 more
europepmc +1 more source
The Pompeiu-Hausdorff distance/Pompeiu-Hausdorff metric is a concept in analysis that measures the distance between two subsets of a metric space, one of its important applications being the Hausdorff metric differentiability of set-valued functions . This article reviews the definition and properties of Pompeiu-Hausdorff distance differentiability on ...
William Surya Putra, Mohamad Muslikh
openaire +1 more source
Fractional-like Hukuhara derivative and its properties [PDF]
Вводится понятие дробно-подобной производной Хукухары для многозначного отображения, обсуждаются ее свойства и приводится принцип сравнения для дробно-подобных многозначных дифференциальных уравнений.Вводиться поняття дробово-подібної похідної Хукухари ...
Мартынюк, А.А.
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Fuzzy differential equations with interactive derivative
CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOIn this paper we introduce and study new concept of differentiability for fuzzy-set-valued functions.
Barros, Laécio Carvalho de +1 more
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