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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 …
Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis
This work deals with a higher order numerical approximation for analyzing a class of multi-
term time fractional partial integro-differential equations involving Volterra integral operators …
term time fractional partial integro-differential equations involving Volterra integral operators …
Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions
OA Arqub, M Al-Smadi - Soft Computing, 2020 - Springer
The aim of this article is to propose a new definition of fuzzy fractional derivative, so-called
fuzzy conformable. To this end, we discussed fuzzy conformable fractional integral softly …
fuzzy conformable. To this end, we discussed fuzzy conformable fractional integral softly …
Application of residual power series method for the solution of time-fractional Schrödinger equations in one-dimensional space
O Abu Arqub - Fundamenta Informaticae, 2019 - journals.sagepub.com
The object of this article is to present the computational solution of the time-fractional
Schrödinger equation subject to given constraint condition based on the generalized Taylor …
Schrödinger equation subject to given constraint condition based on the generalized Taylor …
Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator
In this research study, fuzzy fractional differential equations in presence of the Atangana–
Baleanu–Caputo differential operators are analytically and numerically treated using …
Baleanu–Caputo differential operators are analytically and numerically treated using …
The Tikhonov regularization method for the inverse source problem of time fractional heat equation in the view of ABC-fractional technique
This research considers an inverse source problem for fractional diffusion equation that
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …
Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm …
O Abu Arqub, J Singh… - Mathematical Methods in …, 2023 - Wiley Online Library
Mathematical modeling of uncertain fractional integrodifferentials (FIDEs) is an extremely
significant topic in electric circuits, signal processing, electromagnetics, and anomalous …
significant topic in electric circuits, signal processing, electromagnetics, and anomalous …
A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations
In this research, we deal with two types of inverse problems for diffusion equations involving
Caputo fractional derivatives in time and fractional Sturm-Liouville operator for space. The …
Caputo fractional derivatives in time and fractional Sturm-Liouville operator for space. The …
Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications
In this manuscript, we introduced, analyzed, and studied fuzzy fractional differential
equations in terms of Atangana-Baleanu-Caputo differential operator equipped with …
equations in terms of Atangana-Baleanu-Caputo differential operator equipped with …
Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense
Mathematical modeling of fractional resonant Schrödinger equations is an extremely
significant topic in the classical of quantum mechanics, chromodynamics, astronomy, and …
significant topic in the classical of quantum mechanics, chromodynamics, astronomy, and …