Analytical solution of the Atangana–Baleanu–Caputo fractional differential equations using Pythagorean fuzzy sets
Every real-world physical phenomena is inherently based on uncertainty and vagueness.
There is a frequent need of a useful tool that can handle the uncertainty, solve and explain …
There is a frequent need of a useful tool that can handle the uncertainty, solve and explain …
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 …
[HTML][HTML] A fuzzy fractional power series approximation and taylor expansion for solving fuzzy fractional differential equation
Fuzzy fractional differential has the strength to capture the senses of memory and
uncertainty simultaneously involved in dynamical systems. However, a solution for fuzzy …
uncertainty simultaneously involved in dynamical systems. However, a solution for fuzzy …
Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties
This article deals with the algebra of gH-differentiable interval-valued functions. Specifically,
we give conditions for the gH-differentiability of the sum and the gH-difference of two gH …
we give conditions for the gH-differentiability of the sum and the gH-difference of two gH …
Series-form solutions of generalized fractional-fisher models with uncertainties using hybrid approach in Caputo sense
The field of fuzzy calculus has emerged as a powerful mathematical tool which can
effectively deal with uncertainties and impressions that are common in real-world situations …
effectively deal with uncertainties and impressions that are common in real-world situations …
Analysis of incommensurate multi-order fuzzy fractional differential equations under strongly generalized fuzzy Caputo's differentiability
Analytical studies of fuzzy fractional differential equations (FFDEs) of two different
independent fractional orders are often complex and difficult. It is essential to develop …
independent fractional orders are often complex and difficult. It is essential to develop …
A note on initial value problems for fractional fuzzy differential equations
In this note, we present some remarks on solutions of fractional fuzzy differential equation. In
general, a fractional fuzzy differential equation and a fractional fuzzy integral equation are …
general, a fractional fuzzy differential equation and a fractional fuzzy integral equation are …
Solving Pythagorean fuzzy fractional differential equations using Laplace transform
In this research article, we discuss an important class of modern differential equations in the
Pythagorean fuzzy environment, called the Pythagorean fuzzy fractional differential …
Pythagorean fuzzy environment, called the Pythagorean fuzzy fractional differential …
Adaptive T–S fuzzy control design for fractional-order systems with parametric uncertainty and input constraint
Thanks to the superiority of fractional differential equations in modeling high technology
dynamical real world systems, the design and control of fractional-order systems have been …
dynamical real world systems, the design and control of fractional-order systems have been …
Manifestation of interval uncertainties for fractional differential equations under conformable derivative
We propose a generalization of conformable calculus for Type-2 interval-valued functions.
We investigated the differentiability and integrability properties of such functions. The …
We investigated the differentiability and integrability properties of such functions. The …