Fractional Calculus in Bioengineering
By Richard L. Magin. 2006
995 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/c89d7d6f34a498fe59bed17840611695954a158c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Ali H. Bhrawy
- Dumitru Băleanu
- M. A. Zaky
- Eid H. Doha
- Mehdi Dehghan
- S. Ezz‐Eldien
- Abbas Saadatmandi
- Jagdev Singh
Citations in the corpus
- A Formulation and Numerical Scheme for Fractional Optimal Control Problems (2008, background): “Accurate modeling of many dynamic systems leads to a set of fractional differential equations (see, e.g., Podlubny, 1999 Magin, 2006).”
- A new Definition of Fractional Derivative without Singular Kernel (2015, unknown): “Magin [34]).”
- A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives (2010, methodology): “Despite of the above mentioned properties, the fractional calculus was used, as a powerful tool, for solving various problems involving the non-locality inmany fields in both science and engineering (see for example, [7–16] and the references therein).”
- Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions (2017, methodology): “Thus FDE (4) has at least one solution inX × Y.”
- Tuning fractional order proportional integral controllers for fractional order systems (2009, background): “In this paper, two fractional order proportional integral controllers are designed to improve the performance and robustness for a class of fractional order systems (FOS) which can model many real systems in bioengineering [13].”
- Fractional viscoelastic models for power-law materials. (2020, background): “A promising solution relies on the use of fractional calculus, a branch of mathematics that extends integration and differentiation operators to non-integer order [50, 51], to enrich the classical linear viscoelastic framework [52, 53].”
- Suboptimal control of fractional-order dynamic systems with delay argument (2018, background): “, 2000), bioengineering (Magin, 2004), hydrologic modelling (Benson et al.”