[PDF] Top 20 Recent applications of fractional calculus to science and engineering
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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 ... See full document
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INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & MANAGEMENT An Application of Fractional Calculus in Solving Generalized New Fractional Kinetic Equation
... the fractional kinetic equation in terms of the Mittag-Leffler functions which extended the work of Haubold and Mathai ...for fractional kinetic equations associated with the generalized Mittag-Leffler ... See full document
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INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & MANAGEMENT NEW MM- FUNCTION AND FRACTIONAL CALCULUS Manoj Sharma
... In recent year’s many special functions given by mathematicians, here a new function termed as New Mm- function has been ...biology, engineering and applied ...of fractional integral equations in ... See full document
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Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations
... tional calculus nobody expected that this wonderful branch of calculus intro- duces applicable theory in almost all fields such as basic sciences, engineering, social sciences, medicine, economics, ... See full document
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On geometric fractional calculus
... Fractional calculus, the calculus of differentiation and integration of arbitrary order, started to attract scientists, in the last few decades, in different fields of engineering and ... See full document
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On the k-Riemann-Liouville fractional integral and applications
... the fractional calculus in the field of sciences, engineering and mathematics (see,Atanackovic ...on fractional calculus, thus Fractional Calculus is a useful mathematical ... See full document
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RECENT ADVANCEMENT IN FRACTIONAL CALCULUS
... in engineering and sciences leads to differential ...errors. Fractional calculus helps in reducing this error using fractional derivatives, and has capabilities to provide excellent depiction ... See full document
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Cocrystals: A Review of Recent Trends in Pharmaceutical and Material Science Applications
... material science. Cocrystallization is at the interface of crystal engineering and supramolecular chemistry and allows us to vary the physicochemical properties of solids according to the need, through ... See full document
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Certain Coefficient Bounds for p Valent Functions
... Darus, “Fekete-Szegö inequality for certain class of Bazilevic functions,” Far East Journal of Mathematical Sciences, vol.. Mishra, “Applications of fractional calculus to parabolic sta[r] ... See full document
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A numerical approach for variable-order fractional unified chaotic systems with time-delay
... the fractional functional systems that the derivative of the unknown function at a certain time is expressed in terms of the value of the function at the previous ...(VO) fractional calculus has been ... See full document
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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 ...in recent past have been applied in the areas like ordinary fractional calculus, optimal control ... See full document
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SOLUTION TO TIME FRACTIONAL COUETTE FLOW
... Fractional calculus has been used to model physical and engineering processes which are found to be best described by fractional differential ...time fractional partial differential ... See full document
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Applications of Fixed Point Theorems for Coupled Systems of Fractional Integro-Differential Equations Involving Convergent Series
... of fractional order arise in many scientific disciplines, such as physics, chemistry, control theory, signal processing and ...of fractional differential equations is also of a great ...applied ... See full document
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Fractional calculus of generalized k Mittag Leffler function and its applications to statistical distribution
... and, together with its extensions, applied in various research areas such as engineering and (in particular) statistics. The Mittag-Leffler functions and related distributions were given in []. Further, Mathai and ... See full document
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Extensions of almost-F and F-Suzuki contractions with graph and some applications to fractional calculus
... Most recently, Piri and Kumam [] (respectively, Minak et al. []) extended the results of Wardowski [] by introducing the concept of an F -Suzuki contraction (respectively, almost-F-contraction) and obtained some ... See full document
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Construction of Toeplitz matrices whose elements are the coefficients of univalent functions associated with Q-derivative operator
... as fractional q-integral and fractional q-derivative operators, are used to construct several subclasses of analytic functions (see, ...a recent paper Purohit and Raina [10], investigated ... See full document
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On fractional Hahn calculus
... Malinowska and Torres [, ] studied the Hahn quantum variational calculus in . Moreover, in , Malinowska and Martins [] studied the generalized transversality conditions for the Hahn quantum ... See full document
15
Fractional calculus of periodic distributions
... Weyl fractional inte- grals (and the related Erd´elyi-Kober operators) have been produced by Erd´elyi [4] and McBride ...define fractional derivatives of distributions via fractional difference ... See full document
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Generalizations of some fractional integral inequalities via generalized Mittag Leffler function
... In Section , we give the generalizations of the Hermite-Hadamard type inequalities via generalized fractional integrals. Also we prove a version of the Hadamard inequality for convex functions via a generalized ... See full document
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ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS
... the fractional derivative at a point x is a local property only when a is an integer; in non-integer cases we cannot say that the fractional derivative at x of a function f depends only on values of f very ... See full document
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