Generalized fractional calculus operators
Fractional operators with generalized Mittag Leffler k function
... of fractional differential equa- tions, and they are associated with a wide range of problems in many areas of mathematics and ...Recently, fractional calculus gained more attention due to its wide ...
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The Minkowski inequalities via generalized proportional fractional integral operators
... of fractional calculus is the generalized nonlocal proportional fractional integrals and derivatives lately introduced by Jarad et ...other fractional integral inequalities by utilizing ...
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FRACTIONAL NOETHER'S THEOREM WITH CLASSICAL AND GENERALIZED FRACTIONAL DERIVATIVE OPERATORS
... Among the mathematical machinery of classical mechanics, the Noether the- orem of calculus of variation became one of the most important theorems for physics in the 20th century. Since the seminal work of Emmy ...
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Fractional differintegral operators of the generalized Mittag-Leffler type function
... In this paper we derive a new generalization of Mittag-Leffler function and obtain the relations between the R-function and Saigo-Maeda fractional calculus operators. The results are also extension ...
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21. {q}-analogues of Saigo's fractional calculus operators
... of fractional q-calculus, starting from the q- analogue of Cauchy’s formula ...certain fractional q-integral operators and q-derivatives, where he proved the semigroup properties for left and ...
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5. On Generalized Fractional $q$-Integral Operators Involving The $q$-Gauss Hypergeometric Function
... The fractional 𝑞-calculus is the 𝑞-extension of the ordinary fractional ...𝑞-calculus operators in recent past have been applied in the areas like ordinary fractional ...
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Certain fractional calculus formulas involving extended generalized Mathieu series
... Here we present some special cases by choosing suitable values of the parameters σ , σ , ν, ν and η. If we put σ = σ + ν, σ = ν = 0, ν = –η, η = σ in Theorems 1 and 2, we get certain interesting results concerning the ...
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Some new inequalities for generalized fractional conformable integral operators
... Fractional calculus earned more recognition due to its applications in diverse ...the fractional integral operators (FIO) and their applications in multiple disciplines of sciences (see [13, ...
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Fractional differintegral transformations of univalent Meijer's G functions
... the generalized hypergeometric functions as fractional differintegral operators of three basic elementary ...Erdélyi-Kober operators ( m = 1) or their two-tuple compositions (for m = 2) known ...
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Siago’s $K$-Fractional Calculus Operators
... k–Saigo fractional integral and derivative operators involving generalized k–hypergeometric ...Saigo-k generalized fractional operators involving k–hypergeometric function in the ...
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On generalized Srivastava Owa fractional operators in the unit disk
... of fractional calculus has found interesting applications in the the- ory of analytic ...of fractional operators and their gen- eralizations have fruitfully been applied in obtaining, for ...
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Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space
... In this paper, we investigate some generalized results of applications of fractional integral and derivative operators to a subclass of analytic functions for operators on Hilbert space.[r] ...
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Generalized fractional integral operators and the multivariable H function
... new fractional integral formulas (of Marichev-Saigo-Maeda type) involving the products of the multivariable H-functions and the first class of multivariable polynomials due to Srivastava and ...
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Boundary fractional differential equation in a complex domain
... Fractional calculus is the most significant branch of mathematical analysis that transacts with the potential of covering real number powers or complex number powers of the dif- ferentiation operator D = ...
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A Study of Unified Fractional Integral Operator Involving Generalized Laguerre Function and (т,ᵦ)-Generalized Associated Legendre Function
... the generalized Laguerre function, -generalized associated Legendre function and the multivariable Gimel-function having general arguments of multiple Mellin-Barnes type integrals contour with the help of ...
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Operational Calculus on Generalized Two-Dimensional Offset Fractional Fourier Transform
... transform generalized from the conventional Fourier ...the Fractional Fourier transform are well known in signal community and processing applied into information encryption and image ...Offset ...
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Multilinear BMO Estimates for the Commutators of Multilinear Fractional Maximal and Integral Operators on the Product Generalized Morrey Spaces
... multilinear fractional integral operators have been established by Moen [20] and Chen-Xue [3], ...the operators I α (m) , T (m) and M (m) (m ∈ N ) on the product generalized Morrey spaces, ...
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Multilinear fractional integral operators on generalized weighted Morrey spaces
... 11. Kenig, CE, Stein, EM: Multilinear estimates and fractional integration. Math. Res. Lett. 6, 1-15 (1996) 12. Grafakos, L, Kalton, N: Some remarks on multilinear maps and interpolation. Math. Ann. 319, 151-180 ...
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Recent applications of fractional calculus to science and engineering
... In summary, Bagley’s analysis [2] suggests that the unmodified power law is a special case of the general fractional calculus model. The modified power law (6.19) is closely associated with the ...
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A Novel Image Denoising Algorithm Based on Riemann-Liouville Definition
... some fractional operation-based methods are power tools for analyzing and processing said non problems, such as fractional Fourier transform[6,7], fractional wavelet packet transform[8], ...
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