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[PDF] Top 20 Incomplete Caputo fractional derivative operators

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Incomplete Caputo fractional derivative operators

Incomplete Caputo fractional derivative operators

... of Caputo fractional derivative operators and show their use in the special function ...of incomplete hypergeometric functions and obtain their integral ...define incomplete ... See full document

18

A non local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative

A non local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative

... that fractional derivatives have been successfully applied to problems in system biology [], physics [–] and hydrology [, ...models fractional differ- ential operators have recently renewed ... See full document

10

On the Solutions of a Class of Fractional Hyperbolic Integro-Differential Inclusions

On the Solutions of a Class of Fractional Hyperbolic Integro-Differential Inclusions

... generalized Caputo-Katugampola fractional derivative was proposed in [10] by Katugampola and afterwards he provided the existence of solutions for fractional differential equations defined by ... See full document

13

Vol 3, No 2 (2019)

Vol 3, No 2 (2019)

... a fractional calculation ...and fractional differential equations, which control the problems of initial value and ...of fractional calculations play a very interesting and important role in solving ... See full document

12

Numerical approximation of the space time Caputo Fabrizio fractional derivative and application to groundwater pollution equation

Numerical approximation of the space time Caputo Fabrizio fractional derivative and application to groundwater pollution equation

... differential operators, probably simpler nevertheless devoid of this property, one may get similar responds of fractional order ...ordinary derivative in time with the scale time derivative ... See full document

13

Implied fractional hazard rates and default risk distributions

Implied fractional hazard rates and default risk distributions

... a fractional hazard rate, defined by the application of a fractional operator, implies as well a conventional probability density and its cumulative ...implied fractional hazard distri- butions can ... See full document

14

Periodic boundary value problems for singular fractional differential equations with impulse effects

Periodic boundary value problems for singular fractional differential equations with impulse effects

... the fractional derivatives (Riemann-Liouville fractional derivative, Caputo fractional derivative and Hadamard fractional derivative and other type see [40]) are ... See full document

68

Linear fractional fuzzy differential equations with Caputo derivative

Linear fractional fuzzy differential equations with Caputo derivative

... involving fractional derivative operators, appear to be important in modelling of several complex phenomena in different fields of science and engineering, for instance in electrical circuits, ... See full document

14

On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations

On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations

... of fractional calculus by constructing operators with different nonlocal ...nonlocal derivative without singular kernel was introduced in ...new fractional operator was utilized to get more ... See full document

9

A fractional order pine wilt disease model with Caputo–Fabrizio derivative

A fractional order pine wilt disease model with Caputo–Fabrizio derivative

... differential operators. Further, in the literature fractional order models provide a better fit to the real data for different diseases and other experimental work in fluid ...A fractional order model ... See full document

18

FRACTIONAL NOETHER'S THEOREM WITH CLASSICAL AND GENERALIZED FRACTIONAL DERIVATIVE OPERATORS

FRACTIONAL NOETHER'S THEOREM WITH CLASSICAL AND GENERALIZED FRACTIONAL DERIVATIVE OPERATORS

... Riesz-Caputo derivative [18]. Zhou and Fu [19] presented the fractional Noether’s theorem of the Hamiltonian systems based on Frederico’s definition of fractional conserved ...this ... See full document

20

On memo viability of fractional equations with the Caputo derivative

On memo viability of fractional equations with the Caputo derivative

... with fractional derivatives and integrals of any order, and it is a field of mathematics that grows out of the traditional definitions of calculus integral and derivative ...Hence, fractional ... See full document

11

On Extended Caputo Fractional Derivative Operator

On Extended Caputo Fractional Derivative Operator

... of fractional calculus have been paid more ...the fractional calculus is a more helpful tool to find out differentials and integrals with the real numbers or with the complex num- bers powers of the ... See full document

14

Numerical solution of fractional order mathematical model of drug resistant tuberculosis with two line treatment

Numerical solution of fractional order mathematical model of drug resistant tuberculosis with two line treatment

... 1.3. Numerical results of mathematical model. We have solved fractional ordered math- ematical model by using general Euler method(GEM). The graphical results for α = 1 have been examined by taking initial ... See full document

15

The Dirichlet problem for the time-fractional advection-diffusion equation in a line segment

The Dirichlet problem for the time-fractional advection-diffusion equation in a line segment

... the fractional advection diffusion equation as well as of the numerical methods used for its solving can be found in ...of fractional advections dif- fusion equation were considered ... See full document

8

On four-point fractional q-integrodifference boundary value problems involving separate nonlinearity and arbitrary fractional order

On four-point fractional q-integrodifference boundary value problems involving separate nonlinearity and arbitrary fractional order

... four-point fractional q-integral and Riemann– Liouville fractional q-derivative boundary value problem for a sequential Caputo frac- tional q-integrodifference equation involving separate ... See full document

20

Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space

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] ... See full document

6

Positive solutions of fractional differential equation with two pieces in chain interval and simultaneous Dirichlet boundary conditions

Positive solutions of fractional differential equation with two pieces in chain interval and simultaneous Dirichlet boundary conditions

... some fractional integro- differential equations involving the Caputo–Fabrizio derivation ...extended fractional Caputo–Fabrizio derivative for the existence of solutions for two ... See full document

23

On high order fractional integro-differential equations including the Caputo–Fabrizio derivative

On high order fractional integro-differential equations including the Caputo–Fabrizio derivative

... the fractional Caputo–Fabrizio derivative, we introduce two types new high order derivations called CFD and ...order fractional integro-differential ... See full document

15

Existence and uniqueness of solution for Sturm–Liouville fractional differential equation with multi point boundary condition via Caputo derivative

Existence and uniqueness of solution for Sturm–Liouville fractional differential equation with multi point boundary condition via Caputo derivative

... Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the Banach ... See full document

17

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