Fractional Integral
On a New Fractional Integral Transform and its Applications
... new fractional integral ...new fractional integral transform of conformable derivative and some ...New fractional integral transform Definition ...new fractional ...
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On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation
... In this paper, we study the existence and uniqueness of solutions for a problem consisting of nonlinear Langevin equation of Riemann-Liouville type fractional derivatives with the nonlocal Katugampola ...
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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 inequalities for ...
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Impulsive fractional boundary-value problems with fractional integral jump conditions
... In this paper we establish the existence and uniqueness of solutions for impulsive fractional boundary-value problems with fractional integral jump conditions. By using a variety of fixed-point ...
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Fractional order boundary value problems with Katugampola fractional integral conditions
... of fractional differential equations and inclusions involve dif- ferent kinds of boundary conditions such as nonlocal, integral, and multipoint boundary ...The fractional integral boundary ...
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CERTAIN INTEGRAL TRANSFORMS AND FRACTIONAL INTEGRAL FORMULAS FOR THE EXTENDED HYPERGEOMETRIC FUNCTIONS
... which, in view of upon using the definition of Hadamard product series (5) and extended hypergeometric function (4), gives the right-hand side of (30). Theorem 3.2. Let x > 0, min {<(p), <(q), <(µ), <(ρ)} ...
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Some new integral inequalities using Hadamard fractional integral operator
... of fractional Hadamard calculus are given in Kilbas [14] and Samko et ...and integral as given in [2]. Definition 2.1. The Hadamard fractional integral of order α ∈ R + of function f (x), for ...
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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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Multilinear fractional integral operators on non homogeneous metric measure spaces
... Thus one always assumes that λ satisfies (.) throughout this paper. Because the singularity of the commutators is stronger than that of the fractional integral, we need to assume λ(x, al) ≥ a m λ(x, l), ...
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Generalized fractional integral inequalities by means of quasiconvexity
... In many areas of mathematics, convex functions play an important role. In the study of optimization problems, they are particularly important where they are distinguished by a number of convenient properties. For ...
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Generalized fractional integral operators associated with aleph function
... new integral relations involving the product of the Srivastava’s polynomials and the ...Erdélyi-Kober fractional integral operators, which have been depicted in ...
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Some generalized Riemann Liouville k fractional integral inequalities
... type integral inequalities involving the generalized Riemann-Liouville k-fractional inte- gral operators that we need to establish main theorems in the sequel and Section contains some Chebyshev type ...
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Some new results using Hadamard fractional integral
... Riemann-liouville fractional integrals as Kernel in the Hadamard integral has the from of ln( x t ) instead of the form of (x − t), which is involves in the Riemann- Liouville ...
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Existence and nonexistence of positive solutions for fractional integral boundary value problem with two disturbance parameters
... existence and nonexistence of positive solutions for the integral boundary value problem (.)-(.) and the impact of the disturbance parameters a, b on the existence of positive solutions is also investigated. ...
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Fractional integral inequalities for continuous random variables
... moments and for the higher order central moments of a continuous random variable. In [15], Y. Miao and G. Yang gave new upper bounds for the standard deviation σ(X), for the quantity σ 2 (X) + (t − E(X)) 2 , t ∈ [a, b] ...
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Fractional integral problems for fractional differential equations via Caputo derivative
... with fractional order have recently proved to be valuable tools for the description of hereditary properties of various materials and ...by fractional order differential ...nonlinear fractional ...
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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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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 the ...
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Generalized classes of starlike and convex functions of order α
... Subordination, fractional derivative, fractional integral, generalized Libera operator.. 1980 MATHEMATICS SUBJECT CLASSIFICATION CODE.[r] ...
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Vol 8, No 9 (2017)
... various integral formulas in the theory of the pathway fractional integral ...pathway fractional integration involving Fox H-function and ...of fractional order differential equations ...
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