fractional calculus
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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The (k, s)-Fractional Calculus of Class of a Function
... Fractional calculus has gained appreciable fame and significance due to its numerous and boundless applications in Science; more particularly in ...of fractional calculus, one can refer to [5, ...
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An Image Enhancement Method Based on Fractional Calculus and Retinex
... on fractional calculus and single-scale ...uses fractional differential to preprocess the input ...non-linearly. Fractional integral is used to denoise the reflection component to reduce and ...
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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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Discrete Grüss type inequality on fractional calculus
... The study of discrete fractional calculus was pioneered by Diaz and Osler []. In the mentioned work, the authors used an infinite sum to give a definition of discrete frac- tional sum, whereas Gray and ...
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A new transform method in nabla discrete fractional calculus
... The fractional calculus deals with integrals and derivatives of arbitrary ...this calculus because of its interesting applications in various fields of science, such as viscoelasticity, diffusion, ...
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Can Fractional Calculus be Generalized: Problems and Efforts
... Abstract. Fractional order calculus always includes integer-order ...classical calculus? We attempt to highlight the current problems that come in the way to define the fractional ...
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Fractional Calculus Operator Associated with Wright's Function
... [6] M. Saigo and N. Maeda, More generalization of fractional calculus. In : Transform methos and special functions, Nerna'96 ( Proc second intermat workshop ). Science Culture Technology Publishing, ...
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Nonlinear fractional differential equations in nonreflexive Banach spaces and fractional calculus
... In the following we outline some aspects of fractional calculus in a nonreflexive Banach space. This subject has been treated extensively in [, ]. Let E be a Banach space with norm · and let E ∗ be the ...
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Noninstantaneous impulsive inequalities via conformable fractional calculus
... of this kind of impulsive ordinary or fractional differential equations [25–36]. To the best of our knowledge, there is no literature on noninstantaneous impulsive inequalities. The main goal of the paper is to ...
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Classical Properties on Conformable Fractional Calculus
... conformable fractional calculus involving fractional derivative and integral are ...classical calculus such as the rules to determine conformable fractional derivative and ...
5
Power functions and essentials of fractional calculus on isolated time scales
... On this account, some ideas regarding fundamental properties which should be met by power functions on time scales were outlined in []. In [], the authors introduced fractional calculus (and by ...
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A NOVEL SUBCLASS OF UNIVALENT FUNCTIONS INVOLVING OPERATORS OF FRACTIONAL CALCULUS
... general fractional calculus operators I 0,z λ,µ,η and J 0,z λ,µ,η include (as their special cases) the Riemann-Liouville and the Erd´elyi-Kober operators of frac- tional calculus studied by Saigo [8] ...
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Some estimations on continuous random variables involving fractional calculus
... of fractional calculus on probability ...new fractional bounds that estimate the w− weighted expectation, the w− weighted variance and the w−weighted moment of continuous random ...
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The \((k,s)\) fractional calculus of k Mittag Leffler function
... of fractional calculus found in many recent papers (see ...s)-Riemann-Liouville fractional integral inequalities for con- tinuous random variables by using the idea of (k, s)-fractional ...
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21. {q}-analogues of Saigo's fractional calculus operators
... The fractional q-calculus is the q-extension of the ordinary fractional ...ordinary fractional calculus, optimal control problems, solutions of the q-difference (differential) and ...
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16. Further Results on Fractional Calculus of Srivastava Polynomials
... tional calculus operator and boundary value problems involving the Euler-Darboux equation and Ross (see [8]) obtained the fractional integral formulae by using se- ries expansion ...ther fractional ...
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On A Class Of Univalent Functions Associated With A Fractional Calculus Operators
... we derived coefficient estimate, distortion theorem, extreme points and application to fractional calculus operator for the function belonging to this class.. Keywords: Hadamard produ[r] ...
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q Fractional calculus for Rubin’s q difference operator
... Mansour Advances in Difference Equations 2013, 2013 276 http //www advancesindifferenceequations com/content/2013/1/276 R ES EA RCH Open Access q Fractional calculus for Rubin?s q difference operator[.] ...
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Applications of Fractional Calculus to Newtonian Mechanics
... of Fractional Calculus (FC) to Newto- nian ...generalized fractional gravitational potential and derive the re- lated circular orbital ...connecting fractional calculus to standard me- ...
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