Results 41 to 50 of about 1,816,969 (371)

E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES

Проблемы анализа, 2020
Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities.
G. A. Anastassiou
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Isoperimetric problems of the calculus of variations with fractional derivatives [PDF]

, 2011
In this paper we study isoperimetric problems of the calculus of variations with left and right Riemann-Liouville fractional derivatives. Both situations when the lower bound of the variational integrals coincide and do not coincide with the lower bound ...
Agrawal, Agrawal, Agrawal, Almeida, Almeida, Almeida, Almeida, Almeida, Atanacković, Baleanu, Baleanu, Baleanu, Baleanu, Baleanu, Baleanu, Bastos, Blåsjö, Curtis, Delfim F.M. Torres, El-Nabulsi, El-Nabulsi, Frederico, Frederico, Frederico, Herzallah, Jarad, Jumarie, Malinowska, Miller, Podlubny, Ricardo Almeida, Ross, Rui A.C. Ferreira, Samko, Tarasov, van Brunt   +35 more
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Fractional Sums and Differences with Binomial Coefficients

Discrete Dynamics in Nature and Society, 2013
In fractional calculus, there are two approaches to obtain fractional derivatives. The first approach is by iterating the integral and then defining a fractional order by using Cauchy formula to obtain Riemann fractional integrals and derivatives.
Thabet Abdeljawad, Dumitru Baleanu, Fahd Jarad, Ravi P. Agarwal   +3 more
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Katugampola Fractional Calculus With Generalized k−Wright Function

European Journal of Mathematical Analysis, 2021
In this article, we present some properties of the Katugampola fractional integrals and derivatives. Also, we study the fractional calculus properties involving Katugampola Fractional integrals and derivatives of generalized k−Wright function nΦkm(z).
Ahmad Y. A. Salamooni, D. D. Pawar
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The Fractional Orthogonal Derivative [PDF]

Mathematics, 2015
This paper builds on the notion of the so-called orthogonal derivative, where an n-th order derivative is approximated by an integral involving an orthogonal polynomial of degree n. This notion was reviewed in great detail in a paper by the author and Koornwinder in 2012.
openaire   +3 more sources

On Caputo fractional derivatives via exponential \(s,m\)-convex functions

Engineering and Applied Science Letters, 2020
In this paper, we establish several integral inequalities including Caputo fractional derivatives for exponential \(s,m\)-convex functions. By using convexity for exponential \(s,m\)-convex functions of any positive integer order differentiable function ...
G. Farid, M. Nadeem, S. Butt
semanticscholar   +1 more source

Space-time duality for fractional diffusion

, 2009
Zolotarev proved a duality result that relates stable densities with different indices. In this paper, we show how Zolotarev duality leads to some interesting results on fractional diffusion.
Allouba, Baeumer, Becker-Kern, Bertoin, Boris Baeumer, Burdzy, Erkan Nane, Feller, Hille, Lukacs, Mark M. Meerschaert, Meerschaert, Miller, Orsingher, Podlubny, Samko, Samorodnitsky, Scalas, Zolotarev   +18 more
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Comparison principles for fractional differential equations with the Caputo derivatives

Advances in Difference Equations, 2018
In this paper, we deal with comparison principles for fractional differential equations involving the Caputo derivatives of order p with 0≤n ...
Ziqiang Lu, Yuanguo Zhu
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Hyers-Ulam-Mittag-Leffler stability of fractional differential equations with two caputo derivative using fractional fourier transform

AIMS Mathematics, 2022
In this paper, we discuss standard approaches to the Hyers-Ulam Mittag Leffler problem of fractional derivatives and nonlinear fractional integrals (simply called nonlinear fractional differential equation), namely two Caputo fractional derivatives using
Anumanthappa Ganesh, Swaminathan Deepa, Dumitru Baleanu, Shyam Sundar Santra, Osama Moaaz , Vediyappan Govindan, Rifaqat Ali   +6 more
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Time-Fractional Optimal Control of Initial Value Problems on Time Scales

, 2019
We investigate Optimal Control Problems (OCP) for fractional systems involving fractional-time derivatives on time scales. The fractional-time derivatives and integrals are considered, on time scales, in the Riemann--Liouville sense.
A Ahmadkhanlu, A Cabada, AB Malinowska, B Bayour, Benaoumeur Bayour, Benaoumeur Bayour, D Baleanu, D Baleanu, D Idczak, D Mozyrska, E Hernández, EG Bajlekova, ER Nwaeze, G Mophou, GM Bahaa, GM Mophou, GSF Frederico, GSF Frederico, I Podlubny, K Mekhalfi, L Bourdin, M Bohner, M Bohner, MC Caputo, Monika Dryl, Moulay Rchid Sidi Ammi, Moulay Rchid Sidi Ammi, N Benkhettou, N Benkhettou, N Benkhettou, N Benkhettou, N Özdemir, NRO Bastos, NRO Bastos, NRO Bastos, O Lavrova, OP Agrawal, OP Agrawal, R Almeida, RP Agarwal, RP Agarwal, S Abbas, T Abdeljawad, Thabet Abdeljawad   +43 more
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