[PDF] Top 20 On Extended Caputo Fractional Derivative Operator
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On Extended Caputo Fractional Derivative Operator
... of extended Caputo fractional derivative operator and establish the extension of an ex- tended fractional derivative of some known elementary ...the extended ... See full document
14
A New Extension of Extended Caputo Fractional Derivative Operator
... the fractional derivative operator are found in many research ...the extended Caputo fractional derivative ...an extended frac- tional derivative of some ... See full document
15
Fractional integral problems for fractional differential equations via Caputo derivative
... We see that the operator F : U → C([, T ], R ) is continuous and completely continuous. From the choice of U, there is no u ∈ ∂U such that u = νFu for some ν ∈ (, ). Conse- quently, by the nonlinear alternative ... See full document
17
On the linear fuzzy model associated with Caputo–Fabrizio operator
... fuzzy fractional calculus to handle fractional-order systems with uncertain initial values or un- certain relationships between ...fuzzy fractional differential equations under Riemann–Liouville ... See full document
18
Fractional Versions of the Fundamental Theorem of Calculus
... differential operator of non integer order in t Caputo sense is similar to the differential operator of non integer order in the Riemann-Liouville ...the Caputo sense, the derivative ... See full document
11
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
On boundary value problems of higher order abstract fractional integro-differential equations
... by fractional derivatives, see for examples [8, ...on fractional calculus and fractional differential equations theory, see the monographs of Kilbas et ...of fractional differential equations ... See full document
20
Linear fractional fuzzy differential equations with Caputo derivative
... for fractional dif- ferential equations with ...of fractional with ...fuzzy fractional integral and integrodifferential ...fuzzy fractional differential equations ...have extended the ... See full document
14
Lyapunov type inequalities for an anti periodic fractional boundary value problem involving ψ Caputo fractional derivative
... of fractional calculus in applications, the study of Lyapunov-type inequalities was extended to fractional boundary value problems by many ...the fractional boundary value ... See full document
11
Existence of solutions for equations and inclusions of multiterm fractional q integro differential with nonseparated and initial boundary conditions
... new operator called the infinite coefficient- symmetric Caputo–Fabrizio fractional derivative and applied it to investigate the approxi- mate solutions for two infinite coefficient-symmetric ... See full document
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The extended fractional Caputo–Fabrizio derivative of order \(0\leq \sigma <1\) on \(C {\mathbb{R}}[0,1]\) and the existence of solutions for two higher order series type differential equations
... the fractional Caputo–Fabrizio derivative of order 0 ≤ σ < 1 on C R [0, 1] and investigate two higher-order series-type fractional differential equations involving the extended ... See full document
11
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 ...Rezapour extended fractional Caputo–Fabrizio derivative for the existence of solutions ... See full document
23
Further Extension of Extended Fractional Derivative Operator of Riemann-Liouville
... 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
13
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 ... See full document
8
Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions
... of fractional order, involving various types of bound- ary conditions, has been the subject of interest in the pure and applied ...of fractional order can be found in the series [3–21] and in the references ... See full document
15
Existence of positive solutions for nonlinear four-point Caputo fractional differential equation with p-Laplacian
... The monotone iterative technique is used to solve the problem of a kind of nonlinear four-point Caputo fractional differential equation with p-Laplacian operator. Under cer- tain nonlinear growth ... See full document
15
The Dirichlet problem for the time-fractional advection-diffusion equation in a line segment
... The one-dimensional time-fractional advection-diffusion equation with the Caputo time derivative is considered in a line segment. The fundamental solution to the Dirichlet problem and the solution of ... See full document
8
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 ... See full document
7
Generalized classes of starlike and convex functions of order α
... Subordination, fractional derivative, fractional integral, generalized Libera operator.. 1980 MATHEMATICS SUBJECT CLASSIFICATION CODE.[r] ... See full document
13
Fractionalization of a Class of Semi Linear Differential Equations
... a fractional derivative incorporates a fading memory although the remnants of the memory lingers on for ever with decreasing intensity and this has been interpreted as fractional derivatives having ... See full document
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