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Fractional Integral Inequalities

Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function

Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function

... generalized fractional integral operator contains itself several known fractional integral operators for particular values of involved ...0, fractional integral ...

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Generalized fractional integral inequalities by means of quasiconvexity

Generalized fractional integral inequalities by means of quasiconvexity

... hypotheses. Fractional integral inequalities established by means of (quasi)convexity have been a subject of immense in- vestigation in recent ...

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ON NEW CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES FOR PRODUCT OF DIFFERENT KINDS OF CONVEXITY

ON NEW CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES FOR PRODUCT OF DIFFERENT KINDS OF CONVEXITY

... The fractional integral in (3) coincides with the Riemann-Liouville fractional integral (1) when a = 0 and α = ...Hadamard fractional integral [9] once a = 0 and α → 0 with the ...

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Some Improvements of Conformable Fractional Integral Inequalities

Some Improvements of Conformable Fractional Integral Inequalities

... Additionally non-integer order calculus called fractional calculus has a number of fields of application such as control theory, computational analysis and engineering [12], see also [13]. Thus a number of new ...

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Fractional integral inequalities for continuous random variables

Fractional integral inequalities for continuous random variables

... for fractional integrals with weighted fractional Peano ...type inequalities. Other paper deal with these probability inequalities can be found in [1, 17, ...

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Some generalized Riemann Liouville k fractional integral inequalities

Some generalized Riemann Liouville k fractional integral inequalities

... The celebrated functionals were introduced by the Chebyshev in his famous paper [] and were subsequently rediscovered in various inequalities (for the celebrated functionals) by numerous authors, including ...

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Inequalities for \(\mathbb{B}\) convex functions via generalized fractional integral

Inequalities for \(\mathbb{B}\) convex functions via generalized fractional integral

... Recently, fractional calculus has become a very popular and important ...Specially, fractional integral inequalities have been studied by different ...type inequalities for B-convex ...

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q Integral inequalities associated with some fractional q integral operators

q Integral inequalities associated with some fractional q integral operators

... of fractional q-integral inequalities involving functions of inde- pendent variables has been an important research subject in mathematical analysis be- cause the inequality technique is also one of ...

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Some new integral inequalities using Hadamard fractional integral operator

Some new integral inequalities using Hadamard fractional integral operator

... Caputo fractional integrals; see [3, 6, 7, 8, 9, 12, 13] and the references ...established fractional integral inequality using Riemann-Liouville fractional integration; for more details, see ...

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Integral inequalities via fractional quantum calculus

Integral inequalities via fractional quantum calculus

... of integral inequalities and fractional calculus and can be specialized to yield numerous interesting fractional integral inequalities including some known ...in ...

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The Minkowski inequalities via generalized proportional fractional integral operators

The Minkowski inequalities via generalized proportional fractional integral operators

... of inequalities. One of the recent advancements in the field of fractional calculus is the generalized nonlocal proportional fractional integrals and derivatives lately introduced by Jarad et ...

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On some integral inequalities using Hadamard fractional integral

On some integral inequalities using Hadamard fractional integral

... on fractional integral inequalities and its application which plays important role in classical differential and integral equations, see [3, 5, 6, 7, 8, 9, ...following fractional ...

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Some inequalities via fractional conformable integral operators

Some inequalities via fractional conformable integral operators

... of fractional integral inequalities plays a vital role in the field of mathemati- cal ...famous inequalities for convex functions known as Hermite–Hadamard ...

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Some new fractional q integral Grüss type inequalities and other inequalities

Some new fractional q integral Grüss type inequalities and other inequalities

... Riemann-Liouville fractional integrals, the frac- tional integral inequalities and applications have been addressed extensively by several ...following fractional integral ...

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Some fractional proportional integral inequalities

Some fractional proportional integral inequalities

... type inequalities via fractional integral oper- ators are ...type inequalities by employing the k-fractional integrals ...of fractional integral inequalities by ...

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New generalized Hermite Hadamard type inequalities and applications to special means

New generalized Hermite Hadamard type inequalities and applications to special means

... type inequalities involving Hadamard fractional integrals for the functions satisfying mono- tonicity, convexity and s-e-condition by utilizing the left-type Hadamard fractional inte- gral ...

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On some integral inequalities for generalized fractional integral

On some integral inequalities for generalized fractional integral

... Definition 2.2. Let (a, b) be a finite interval of the real line R and α > 0. Also let h (x) be an increasing and a positive monotone function on (a, b], having a continuous derivative h 0 (x) on (a, b). The left- and ...

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On new inequalities of Simpson's type for generalized quasi convex functions

On new inequalities of Simpson's type for generalized quasi convex functions

... Budak and S.Erden, On new inequalities of Simpson’s type for generalized convex func- tions , RGMIA Res. Budak, Some integral inequalities for local fractional integrals , RGMIA Res[r] ...

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Refinements of some $2D$ nonlinear integral inequalities and applications in fractional integral equations

Refinements of some $2D$ nonlinear integral inequalities and applications in fractional integral equations

... singular integral inequalities of Wendroff Type which extend some known weakly singular inequalities for functions in two variables and can be used in the analysis of various prob- lems in the theory ...

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ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL

ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL

... The present study was designed to make the generalization of some inequalities for conformable differential equations. For this purpose we use the Katugampola derivative formulation of conformable derivative of ...

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