Results 21 to 30 of about 1,408 (159)
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 +4 more
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Fractal and Fractional, 2021 In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom +3 more
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New general Grüss-type inequalities over σ-finite measure space with applications
Advances in Difference Equations, 2020 In this paper, we establish some new integral inequalities involving general kernels. We obtain the related broad range of fractional integral inequalities.
Sajid Iqbal +5 more
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Fractional integral inequalities and global solutions of fractional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 New fractional integral inequalities are established, which generalize some famous inequalities. Then we apply these new fractional integral inequalities to study global existence results for fractional differential equations.
Tao Zhu
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Generalized proportional fractional integral Hermite–Hadamard’s inequalities
Advances in Difference Equations, 2021 The theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations.
Tariq A. Aljaaidi +5 more
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On the weighted fractional integral inequalities for Chebyshev functionals
Advances in Difference Equations, 2021 The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman +4 more
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On Discrete Fractional Integral Inequalities for a Class of Functions
Complexity, 2020 Discrete fractional calculus ℱ C is proposed to depict neural systems with memory impacts.
Saima Rashid +3 more
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Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions
Journal of Function Spaces, 2021 Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016).
Ahmet Ocak Akdemir +3 more
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On Some Integral Inequalities via Conformable Fractional Integrals [PDF]
Applied Mathematics and Nonlinear Sciences, 2020 Abstract In the present note, we have given a new integral identity via Conformable fractional integrals and some further properties. We have proved some integral inequalities for different kinds of convexity via Conformable fractional integrals.
Akdemir, Ahmet Ocak +6 more
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(k, ψ)-Proportional Fractional Integral Pólya–Szegö- and Grüss-Type Inequalities
Fractal and Fractional, 2021 The purpose of this research was to discover a novel method to recover k-fractional integral inequalities of the Pólya–Szegö-type. We employ these generalized inequalities to investigate some new fractional integral inequalities of the Grüss-type.
Tariq A. Aljaaidi +6 more
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