Results 91 to 100 of about 12,310,207 (201)

Some fractional proportional integral inequalities

Journal of Inequalities and Applications, 2019
In the last few years, various researchers studied the so-called conformable integrals and derivatives. Based on that notion some authors used modified conformable derivatives (proportional derivatives) to generate nonlocal fractional integrals and ...
Gauhar Rahman, Thabet Abdeljawad, Aftab Khan, Kottakkaran Sooppy Nisar   +3 more
doaj   +1 more source

Grüss type inequalities for generalized fractional integrals

AIP Conference Proceedings, 2016
In this study, some Gruss type inequalities for generalized fractional integrals are presented. Also, the results presented here would provide extensions of those given in earlier works.
Erden, Samet, Sarikaya, Mehmet Zeki, Budak, Huseyin, Erden, Samet   +3 more
openaire   +3 more sources

The General Solution of Differential Equations with Caputo-Hadamard Fractional Derivatives and Noninstantaneous Impulses

Advances in Mathematical Physics, 2017
Based on some recent works about the general solution of fractional differential equations with instantaneous impulses, a Caputo-Hadamard fractional differential equation with noninstantaneous impulses is studied in this paper.
Xianzhen Zhang, Zuohua Liu, Hui Peng, Xianmin Zhang, Shiyong Yang   +4 more
doaj   +1 more source

On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral

Axioms
In this paper, a generic fractional derivative is defined as a set of the linear operators left-inverse to the Riemann–Liouville fractional integral. Then, the theory of the left-invertible operators developed by Przeworska-Rolewicz is applied to deduce its properties.
openaire   +2 more sources

Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators [PDF]

The main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators.
Mishra, Vishnu Narayan, Mishra, Lakshmi Narayan, Paul, Supriya Kumar, Supriya Kumar Paul, Lakshmi Narayan Mishra, Vishnu Narayan Mishra   +5 more
core   +1 more source

New fractional integral inequalities associated with pathway operator [PDF]

, 2015
This paper deals with the derivation of certain integral inequalities involving fractional integral operators of Chebyshev type by an application of the pathway fractional integral operator.
Daiya, Jitendra, Ram, Jeta, Saxena, R. K.   +2 more
core   +1 more source

Generalized fractional integration of the \overline{H}-function

Le Matematiche, 2012
A significantly large number of earlier works on the subject of fractional calculus give interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis (such as ordinary and partial ...
Praveen Agarwal
doaj  

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.
core   +1 more source

Some new integral inequalities via general forms of proportional fractional integral operators [PDF]

Contributions to Mathematics, 2021
Saad Ihsan Butt, Ahmet Ocak Akdemir, Sinan Aslan, Imdat Iscan, Praveen Agarwal   +4 more
doaj   +1 more source

Control strategy for anaesthetic drug dosage with interaction among human physiological organs using optimal fractional order PID controller

, 2014
In this paper, an efficient control strategy for physiological interaction based anaesthetic drug infusion model is explored using the fractional order (FO) proportional integral derivative (PID) controllers.
Koushik Maharatna, Das, Saptarshi, Sourav Das, Saptarshi Das, Das, Sourav, Maharatna, Koushik   +5 more
core   +1 more source