Results 41 to 50 of about 633 (283)

Novel improved fractional operators and their scientific applications

Advances in Difference Equations, 2021
The motivation of this research is to introduce some new fractional operators called “the improved fractional (IF) operators”. The originality of these fractional operators comes from the fact that they repeat the method on general forms of conformable ...
Abd-Allah Hyder, M. A. Barakat
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New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals

Journal of Inequalities and Applications, 2020
This paper gives some novel generalizations by considering the generalized conformable fractional integrals operator for reverse Minkowski type and reverse Hölder type inequalities. Furthermore, novel consequences connected with this inequality, together
Saima Rashid, Ahmet Ocak Akdemir, Kottakkaran Sooppy Nisar, Thabet Abdeljawad, Gauhar Rahman   +4 more
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On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function

Advances in Difference Equations, 2020
The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar, Gauhar Rahman, Dumitru Baleanu, Muhammad Samraiz, Sajid Iqbal   +4 more
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Some Opial type inequalities for conformable fractional integrals

AIP Conference Proceedings, 2018
In this paper, we establish some generalization of Opial type inequalities for conformable fractional integral.
Sarıkaya, Mehmet Zeki, Bilişik, Candan Can   +1 more
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Approximate solution of the conformable integro-differential equations

Miskolc Mathematical Notes
In this paper, fractional linear and nonlinear integro-differential equations are solved by using an iteration method. Fractional derivative and fractional integral are considered in the conformable sense. The conformable integro-differential equation is
Handan Çerdik Yaslan
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Kamenev Type Oscillatory Criteria for Linear Conformable Fractional Differential Equations

Discrete Dynamics in Nature and Society, 2019
Using integral average method and properties of conformable fractional derivative, new Kamenev type oscillation criteria are given firstly for conformable fractional differential equations, which improve known results in oscillation theory.
Jing Shao, Zhaowen Zheng
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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
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Oscillation results for a fractional order dynamic equation on time scales with conformable fractional derivative

Advances in Difference Equations, 2018
In this paper, we investigate oscillatory and asymptotic properties for a class of fractional order dynamic equations on time scales, where the fractional derivative is defined in the sense of the conformable fractional derivative.
Qinghua Feng, Fanwei Meng
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Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function

Journal of Mathematics, 2020
In this present article, we establish certain new Pólya–Szegö-type tempered fractional integral inequalities by considering the generalized tempered fractional integral concerning another function Ψ in the kernel. We then prove certain new Chebyshev-type
Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad, Muhammad Samraiz   +3 more
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Generalized Complex Conformable Derivative and Integral Bases in Fréchet Spaces [PDF]

Assiut University Journal of Multidisciplinary Scientific Research
This paper presents an additional approach in the field of polynomial bases, utilizing generalized complex conformable fractional derivative and integral operators. These operators are applied to polynomial bases of complex conformable derivatives (GCCDB)
Gamal Hassan, Ali Sdeek, Amira Atta
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