Fractional Integrals and Derivatives
New Hermite-Hadamard inequalities via fractional integrals, whose absolute values of second derivatives is P-convex
... Abstract. In this research article, authors have established a general integral identity for Riemann- Liouville fractional integrals. Some new results related to the left-hand side of Hermite-Hadamard type ...
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Certain unified fractional integrals and derivatives for a product of Aleph function and a general class of multivariable polynomials
... 8. Yang, AM, Zhang, YZ, Cattani, C, Xie, GN, Rashidi, MM, Zhou, YJ, Yang, XJ: Application of local fractional series expansion method to solve Klein-Gordon equations on Cantor sets. Abstr. Appl. Anal. 2014, ...
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On impulsive nonlocal integro initial value problems involving multi order Caputo type generalized fractional derivatives and generalized fractional integrals
... Factional differential equations with impulse effects also received considerable atten- tion in view of their applications in modeling the physical problems experiencing instan- taneous changes. For some recent works on ...
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Certain fractional q symmetric integrals and q symmetric derivatives and their application
... Some fractional q-integrals and ...Certain fractional q-integrals and ...PW: Fractional q-calculus on a time ...MS: Fractional integrals and derivatives in ...
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On an Inequality of H G Hardy
... new fractional inequalities involving fractional integrals and derivatives of Riemann-Liouville ...involving fractional derivatives of Canavati and Caputo types as well as ...
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Hermite–Hadamard type inequalities for functions whose derivatives are η convex via fractional integrals
... fractional integrals. In 2017, Farid and Tariq [3] developed fractional inte- gral inequalities for m-convex ...generalized fractional inte- ...
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Hermite Hadamard Type Inequalities for Functions Whose Derivatives Are η- Convex via Fractional Integrals
... Keywords: Convex function, η -convex function, Hermite Hadamard type inequality, fractional.. integral.[r] ...
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Hardy type inequalities within fractional derivatives without singular kernel
... new fractional inequalities within fractional derivatives and integrals of Riemann–Liouville ...Riemann–Liouville fractional integrals, Caputo fractional derivative and ...
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On Generalizations of Hadamard Inequalities for Fractional Integrals
... Fractional calculus is a branch of mathematics that deals with the equations concerning integrals and derivatives of fractional orders. The history of frac- tional calculus is as old as the ...
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On geometric fractional calculus
... multiplicative fractional derivatives and multiplicative fractional integrals and study some of their ...conformable fractional derivative and integral is ...
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19 Calculus of Vector Valued Functions.pdf
... Limits and Continuity Derivatives Integrals Arclength Exercises. Calculus of Vector-Valued Functions[r] ...
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Existence and Hyers–Ulam stability for three point boundary value problems with Riemann–Liouville fractional derivatives and integrals
... and fractional order ...of fractional differential ...of fractional differential equations by using Hery– Gronwall ...a fractional order linear differential ...nonlinear fractional ...
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Multilinear fractional integral operators on non homogeneous metric measure spaces
... For multilinear integral operators, the bilinear theory for Calderón-Zygmund opera- tors was studied by Coifman-Meyers [], then, the boundedness on Lebesgue spaces or Hardy spaces for multilinear singular ...
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Generalized Steffensen Inequalities for Local Fractional Integrals
... The most basic inequality which deals with the comparison between integrals over a whole interval [a, b] and integrals over a subset of [a, b] is the following inequality. The inequality (1.1) has attracted ...
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Two weighted inequalities for B fractional integrals
... 3 Two weighted inequalities for B-fractional integrals In this section we prove an analog of Heinig’s result for the B-fractional integral Iα,γ f.. Further, the Stein-Weiss inequality fo[r] ...
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Discussion of some inequalities via fractional integrals
... Recently, a lot of papers are published concerning inequalities involving different kinds of fractional integrals. In this paper, we proved that most of those inequalities are just particular cases of (or ...
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Steffensen's integral inequality for conformable fractional integrals
... The results presented here would provide generalizations of those given in earlier works.... Steffensen’s type inequalities for conformable fractional integrals.[r] ...
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Some Integral Inequalities for Local Fractional Integrals
... Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl.. Pearce, Selected Topics on Hermite-Hadamard Ine[r] ...
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m-Convex functions associated with bounds of k-fractional integrals
... In Section 2, we give the bounds of the left-sided and right-sided Riemann-Liouville k- fractional integrals. To establish these bounds we use m-convexity of utilized function. In Section 3, we give the ...
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Grüss type integral inequalities for generalized Riemann Liouville k fractional integrals
... 17. Krasniqi, V: Inequalities and monotonicity for the ration of k-gamma functions. Sci. Magna 6(1), 40-45 (2010) 18. Mubeen, S, Habibullah, GM: k-Fractional integrals and application. Int. J. Contemp. ...
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