Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method

O Abu Arqub, M Al-Smadi, S Momani, T Hayat - Soft Computing, 2016 - Springer
Modeling of uncertainty differential equations is very important issue in applied sciences and
engineering, while the natural way to model such dynamical systems is to use fuzzy …

Fuzzy fractional differential equations under Caputo–Katugampola fractional derivative approach

N Van Hoa, H Vu, TM Duc - Fuzzy Sets and Systems, 2019 - Elsevier
In this work, an initial value problem of Caputo–Katugampola (CK) fractional differential
equations in fuzzy setting is considered and an idea of successive approximations under …

New Hermite–Hadamard inequalities in fuzzy-interval fractional calculus and related inequalities

MB Khan, PO Mohammed, MA Noor, YS Hamed - Symmetry, 2021 - mdpi.com
It is a familiar fact that inequalities have become a very popular method using fractional
integrals, and that this method has been the driving force behind many studies in recent …

Fuzzy fractional functional integral and differential equations

VH Ngo - Fuzzy Sets and Systems, 2015 - dl.acm.org
This paper is devoted to considering the existence and uniqueness results for fuzzy
fractional functional integral equations employing the contraction principle. Moreover, the …

[图书][B] Fuzzy differential equations and applications for engineers and scientists

S Chakraverty, S Tapaswini, D Behera - 2016 - taylorfrancis.com
Differential equations play a vital role in the modeling of physical and engineering problems,
such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other …

Numerical solutions of fuzzy differential equations by an efficient Runge–Kutta method with generalized differentiability

A Ahmadian, S Salahshour, CS Chan… - Fuzzy Sets and Systems, 2018 - Elsevier
In this paper, an extended fourth-order Runge–Kutta method is studied to approximate the
solutions of first-order fuzzy differential equations using a generalized characterization …

Solving interval-valued fractional initial value problems under Caputo gH-fractional differentiability

N Van Hoa, V Lupulescu, D O'Regan - Fuzzy Sets and Systems, 2017 - Elsevier
In this paper interval-valued fractional differential equations (IFDEs) under Caputo
generalized Hukuhara differentiability are introduced. We present existence and uniqueness …

Random fuzzy fractional integral equations–theoretical foundations

MT Malinowski - Fuzzy sets and Systems, 2015 - Elsevier
This paper presents mathematical foundations for studies of random fuzzy fractional integral
equations which involve a fuzzy integral of fractional order. We consider two different kinds …

Fuzzy delay differential equations under generalized differentiability

A Khastan, JJ Nieto, R Rodríguez-López - Information Sciences, 2014 - Elsevier
We interpret a fuzzy delay differential equation using the concept of generalized
differentiability. In this setting, we prove the existence of two fuzzy solutions, each one …

Generalized p-Convex Fuzzy-Interval-Valued Functions and Inequalities Based upon the Fuzzy-Order Relation

MB Khan, S Treanțǎ, H Budak - Fractal and Fractional, 2022 - mdpi.com
Convexity is crucial in obtaining many forms of inequalities. As a result, there is a significant
link between convexity and integral inequality. Due to the significance of these concepts, the …