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Fractional Calculus Operators and the Mittag-Leffler Function
, 2022 This book focuses on applications of the theory of fractional calculus in numerical analysis and various fields of physics and engineering. Inequalities involving fractional calculus operators containing the Mittag–Leffler function in their kernels are ...
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On New Unified Bounds for a Family of Functions via Fractional q-Calculus Theory
Journal of Function Spaces, 2020 The present article deals with the new estimates in q-calculus and fractional q-calculus on a time scale Tt0=0∪t:t=t0qn,n is a nonnegative integer, where t0∈ℝ and ...
Li Xu +4 more
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Abelian Groups of Fractional Operators
Computer Sciences & Mathematics Forum, 2022 Taking into count the large number of fractional operators that have been generated over the years, and considering that their number is unlikely to stop increasing at the time of writing this paper due to the recent boom of fractional calculus ...
Anthony Torres-Hernandez +2 more
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FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
Research on Application of Fractional Calculus Operator in Image Underlying Processing
Fractal and FractionalFractional calculus extends traditional, integer-based calculus to include non-integer orders, offering a powerful tool for a range of engineering applications, including image processing.
Guo Huang +5 more
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Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus
Fractal and Fractional, 2020 Mittag-Leffler functions and their variations are a popular topic of study at the present time, mostly due to their applications in fractional calculus and fractional differential equations.
Arran Fernandez, Iftikhar Husain
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Fractal and Fractional, 2021 Considering the large number of fractional operators that exist, and since it does not seem that their number will stop increasing soon at the time of writing this paper, it is presented for the first time, as far as the authors know, a simple and ...
A. Torres-Hernandez, F. Brambila-Paz
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
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Fractal and FractionalTraditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
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Fractional Solutions of Bessel Equation with -Method
The Scientific World Journal, 2013 This paper deals with the design fractional solution of Bessel equation. We obtain explicit solutions of the equation with the help of fractional calculus techniques.
Erdal Bas +2 more
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