Results 81 to 90 of about 2,896 (148)

Recent applications of fractional calculus to science and engineering

International Journal of Mathematics and Mathematical Sciences, 2003
This paper deals with recent applications of fractional calculus to dynamical systems in control theory, electrical circuits with fractance, generalized voltage divider, viscoelasticity, fractional-order multipoles in electromagnetism, electrochemistry ...
Lokenath Debnath
doaj   +1 more source

Hardy type inequalities for fractional integrals and derivatives of Riemann–Liouville

, 2020
© 2017, Pleiades Publishing, Ltd. We prove new Hardy type inequalities for Riemann–Liouville fractional integrals and derivatives in the case when the weight function have power and logarithmic ...
Nasibullin R.
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Applications of Fractional-Order Calculus in Robotics

Fractal and Fractional
Fractional calculus, a branch of mathematical analysis, extends traditional calculus that encompasses integrals and derivatives of non-integer orders [...]
Abhaya Pal Singh, Kishore Bingi
doaj   +1 more source

Necessary optimality conditions for fractional action-like problems with intrinsic and observer times [PDF]

, 2008
We prove higher-order Euler-Lagrange and DuBois-Reymond stationary conditions to fractional action-like variational problems.
Frederico, G.S.F., Torres, D.F.M.
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About the Reduction Method in Fractional Calculus and Fractional Ostrowski Inequalities

, 2014
Here we study generalised fractional integrals and fractional derivatives. We present the reduction method of Fractional Calculus and we reduce them to basic fractional integrals and fractional derivatives.
Anastassiou, George A., George A Anastassiou   +1 more
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Editorial Conclusion for the Special Issue “Fractional Calculus and Nonlinear Analysis: Theory and Applications”

Fractal and Fractional
Fractional calculus is a generalization of classical calculus that involves the study of non-integer derivatives, integrals and their applications [...]
Wei-Shih Du, Marko Kostić, Daniel Velinov   +2 more
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Mixed fractional order integral and derivatives for functions of many variables [PDF]

, 2018
In the work mixed fractional order integrals and derivatives and their some properties аre ...
TILLABAEV, B, KOSIMOV,, Н
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Katugampola Fractional Integrals within the Class of Convex Functions

, 2018
The aim of this paper is to the Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value is s-convex through the instrument of generalized Katugampola fractional integrals.
Hatice YALDIZ, Ahmet Ocak Akdemir
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A comprehensive study on Ostrowski-type inequalities: multiplicative conformable fractional integrals approach [PDF]

Surveys in Mathematics and its Applications
In this paper, we first recall the concept o f the multiplicative conformable fractional integrals (MCFI) and their several properties. Then, we establish the Ostrowski type inequalities in two distinct senses for multiplicative conformable fractional ...
Büşra Betül Ergün, Hüseyin Budak
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New Results on a Nonlocal Sturm–Liouville Eigenvalue Problem with Fractional Integrals and Fractional Derivatives

In this paper, we investigate the eigenvalue properties of a nonlocal Sturm–Liouville equation involving fractional integrals and fractional derivatives under different boundary conditions.
Jing Li, Shaojie Chen, Yunyang Zhang
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