Caputo fractional derivative
On Extended Caputo Fractional Derivative Operator
... extended Caputo fractional derivative operator and establish the extension of an ex- tended fractional derivative of some known elementary ...extended fractional ...
14
Lyapunov type inequalities for an anti periodic fractional boundary value problem involving ψ Caputo fractional derivative
... ψ-Caputo fractional derivative of order α , and f : [a, b] × R → R is a given function. A Lyapunov-type inequality is derived for problem (1.1). Next, as an application of the obtained inequality, an ...
11
Incomplete Caputo fractional derivative operators
... of Caputo fractional derivative operators and show their use in the special function ...incomplete Caputo fractional derivative operators and show that the images of some ...
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A New Extension of Extended Caputo Fractional Derivative Operator
... the fractional derivative operator are found in many research ...extended Caputo fractional derivative ...tional derivative of some elementary functions derives by considering an ...
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A non local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative
... This research work is devoted to investigations of the existence and uniqueness of the solution of a non-local boundary value problem with discontinuous matching condition for the loaded equation. Considering ...
10
M-Point Boundary Value Problem for Caputo Fractional Differential Eqautions
... towards fractional differential equations as many phenomena in various branches of science and engineering are ...of fractional differential equations due to Lakshmikantham ...for fractional ...
7
On Some Fractional-Integro Partial Differential Equations
... of fractional calculus are the ones of Riemann-Liouville and ...of fractional derivatives and integrals in engineering and science have been found in the past one hundred ...is Caputo ...
8
Fractionalization of a Class of Semi Linear Differential Equations
... a Caputo fractional ...a fractional order initial value problem is converted into an equivalent Volterra integral equation of second ...the fractional order derivatives and integrals ...
30
Using shifted Legendre scaling functions for solving fractional biochemical reaction problem
... involving Caputo fractional ...the fractional derivation terms are expanded as the elements of shifted Legendre scaling ...of fractional integration and collocation technique, the main problem ...
14
Biorthogonal cubic Hermite spline multiwavelets on the interval for solving the fractional optimal control problems
... Riemann–Liouville fractional derivative can be found in [4, 5, 11, 22, ...the Caputo fractional derivative such as [6, 7, 27], where the author has solved the problem by solving the ...
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Numerical approximation of the space time Caputo Fabrizio fractional derivative and application to groundwater pollution equation
... recent derivative of fractional order was proposed by Caputo and Fabrizio [], who demonstrated that the new-fangled derivative encompasses extra encouraging prop- erties in comparison with ...
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Lyapunov-type Inequality for Higher Order Fractional Boundary Value Problem with Caputo Derivative
... for fractional boundary value problem of order ∝, 3 <∝≤ 4 defined in terms of Caputo fractional ...obtain fractional Green's functions for the corresponding boundary value problem and use a ...
5
On boundary value problems of higher order abstract fractional integro-differential equations
... nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the techniques such as fractional calculus, H¨ older inequality, Krasnoselskii’s ...
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Numerical solution of fractional order mathematical model of drug resistant tuberculosis with two line treatment
... studied fractional order mathematical model that describes drug resistant tubercu- losis with two line treatment by using Caputo fractional ...taking fractional order ...
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Monotone Iterative Technique for Caputo Fractional Differential Equations with Deviating Arguments
... for fractional differential equation involving the Caputo fractional derivative with deviating ...Keywords: Fractional differential equation with deviating argument, Caputo ...
11
Periodic boundary value problems for singular fractional differential equations with impulse effects
... involving Caputo fractional derivative, Riemann-Liouville and Hadamard fractional derivatives with order q ∈ ( 0, 1 ) ...impulsive fractional differential equations, ...singular ...
68
An Algorithm for the Numerical Solution of System of Fractional Differential Equations
... nonlinear fractional differential equations do not have analytic solutions, so approximations and numerical techniques must be used [9-12 ...solving fractional differential equations is given in ...
5
Probabilistic solutions to nonlinear fractional differential equations of generalized Caputo and Riemann–Liouville type
... generalized Caputo and Riemann- Liouville type fractional ...sical fractional derivatives, as well as their far reaching extensions including various mixed ...
30
Accurate splitting approach to characterize the solution set of boundary layer problems
... Despite the large number of studies dedicated to the solution of the singularly perturbed boundary value problems (e.g., Attili [1] and the survey by Kadalbajoo and Gupta [8]), we find only a few papers addressing ...
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On high order fractional integro-differential equations including the Caputo–Fabrizio derivative
... order fractional integro-differential ...new fractional derivatives entitled CFD and DCF and by using those we investigate the existence of solutions for two high order fractional integro-differential ...
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