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 …
engineering, while the natural way to model such dynamical systems is to use fuzzy …
Fuzzy fractional differential equations under Caputo–Katugampola fractional derivative approach
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 …
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
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 …
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 …
fractional functional integral equations employing the contraction principle. Moreover, the …
[图书][B] Fuzzy differential equations and applications for engineers and scientists
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 …
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
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 …
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 …
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 …
equations which involve a fuzzy integral of fractional order. We consider two different kinds …
Fuzzy delay differential equations under generalized differentiability
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 …
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
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 …
link between convexity and integral inequality. Due to the significance of these concepts, the …