Calculus of fuzzy functions on time scales. I

DOI10.1007/s00500-014-1252-6zbMath1351.26049OpenAlexW2112815753MaRDI QIDQ344056

Omid Solaymani Fard, Tayebeh Aliabdoli Bidgoli

Publication date: 22 November 2016

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-014-1252-6

zbMATH Keywords

fuzzy-number-valued functionstime scalefuzzy Henstock-Kurzweil delta integralHukuhara-Hilger derivative

Mathematics Subject Classification ID

Fuzzy measure theory (28E10) Fuzzy real analysis (26E50)

Related Items

Existence and uniqueness of solutions to the second order fuzzy dynamic equations on time scales ⋮ General forms of solutions for linear impulsive fuzzy dynamic equations on time scales ⋮ Almost periodic fuzzy multidimensional dynamic systems and applications on time scales ⋮ Linear fuzzy Volterra integral equations on time scales ⋮ New Fractional Derivative for Fuzzy Functions and Its Applications on Time Scale ⋮ On the partial delta differentiability of fuzzy-valued functions via the generalized Hukuhara difference ⋮ Some inequalities for interval-valued functions on time scales ⋮ Calculus of fuzzy vector-valued functions and almost periodic fuzzy vector-valued functions on time scales

Cites Work

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• Elementary fuzzy calculus
• Numerical solution of fuzzy differential equations by Nyström method
• On integrals of vector-valued functions on time scales
• Differentials of fuzzy functions
• Henstock-Kurzweil delta and nabla integrals
• First order linear fuzzy differential equations under generalized differentiability
• The calculus of fuzzy valued functions
• A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
• Differentiability of multivalued functions on time scales and applications to multivalued dynamic equations
• Numerical solution of fuzzy differential equations under generalized differentiability
• Embedding problem of fuzzy number space. II
• Numerical solutions of fuzzy differential and integral equations
• Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
• Generalized differentiability of fuzzy-valued functions
• Multi-valued operators and fixed point theorems in Banach algebras. I
• Basics of Riemann Delta and Nabla Integration on Time Scales
• Fuzzy differential equations
• On Henstock integral of fuzzy-number-valued functions. I