[PDF] Top 20 Fractional variational problems with the Riesz-Caputo derivative
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Fractional variational problems with the Riesz-Caputo derivative
... for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo ...for the case when the interval of integration of the ... See full document
7
A stochastic fractional calculus with applications to variational principles
... to the calculus of variations, addressing different optimization problems by means of classical, stochastic, and fractional derivatives through appropriate Euler-Lagrange equations, exist in ... See full document
10
Hyers-Ulam Stability of a Class Fractional Boundary Value Problems with Right and Left Fractional Derivatives
... solve the type of equation. Fractional differential equations with right and left fractional derivatives arose naturally as the Euler-Lagrange equation in fractional ... See full document
7
Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
... between the fractional Sturm–Liouville difference problem and a constrained discrete fractional variational ...Sturm–Liouville fractional difference equations by solving finite ... See full document
20
Caputo fractional differential equation with state dependent delay and practical stability
... in the literature be- cause of their applications in various fields of engineering and science (see, for example, the monographs [4, 13], and the cited therein ...world problems. ... See full document
28
On a linear-quadratic problem with Caputo derivative
... containing the classical derivative of the first order can be found in [22] ...for the comprehensive study of the classical linear-quadratic ...problems). The case of ... See full document
20
Numerical solution for fractional variational problems using the Jacobi polynomials
... deals with optimization problems for functionals depending on some variable function y and some derivative of y (see ...cases, the dynamic of such trajectories are not described by ... See full document
12
Fractional variational problems depending on indefinite integrals
... of the results presented in [2, 21] by considering La- grangians containing an antiderivative, that in turn depend on the unknown function, a fractional integral, and a Caputo ... See full document
18
Variational problems for Hölderian functions with free terminal point
... deal with nondifferentiability in problems of the calculus of variations: the time scale approach, which typically deals with delta or nabla differen- tiable functions [1, 2, 3, 4, 5, ... See full document
14
Optimization conditions for some fractional problems
... obtain the Caputo (when we con- sider k(t) = t), the Caputo–Hadamard (when the kernel is the function k(t) = ln(t)), the Caputo–Katugampola (k(t) = t ⇢ ) and ... See full document
6
Caputo–Hadamard fractional derivatives of variable order
... Due the complexity of dealing with fractional operators, we find different numerical approaches to solve the desired ...approximating the frac- tional derivative by an expansion ... See full document
14
Analysis of a class of boundary value problems depending on left and right Caputo fractional derivatives
... within the literature on the subject, we found some works for the linear case of ...eigenvalue problems [17,23] and also some works dealing exclusively with fractional calculus ... See full document
16
RIESZ POTENTIAL OPERATORS AND INVERSES VIA FRACTIONAL CENTRED DERIVATIVES
... in the areas of electromagnetism, control engineering, and signal ...face the problem created by the somewhat chaotic state of the art due to the existence of several definitions that ... See full document
12
Fractional order optimal control problems with free terminal time
... Introduction. Fractional calculus generalizes the standard integral and differ- ential calculus to arbitrary ...If the order of the fractional derivative operator is an integer ... See full document
19
Calculus of variations involving Caputo-Fabrizio fractional differentiation
... raised the following question: “Can the meaning of derivatives with integer order be generalized to derivatives with non-integer orders?” L’Hospital was curious about that question and replied ... See full document
10
Caputo derivatives of fractional variable order: numerical approximations
... of the theory of fractional calculus consists to allow the fractional order of the derivative to be non-constant, depending on time [5, 19, ...20]. With this approach, ... See full document
22
Fractional Euler-Lagrange differential equations via Caputo derivatives
... of the fractional variational ...functionals with a La- grangian containing left and right Caputo derivatives are ...Several problems are considered: with fixed or free ... See full document
10
Constrained fractional variational problems of variable order
... combined Caputo derivative of variable fractional order, and present some properties that will be need in the ...on the subject we refer the interested reader to [11, 12, ... See full document
15
Fractional variational problems depending on indefinite integrals and with delay
... Caputo fractional derivative seems to be more natural than the Riemann-Liouville fractional ...that. The first one is that the Caputo derivative of a ... See full document
10
Variational Problems Involving a Caputo-Type Fractional Derivative
... variations problems, where the Lagrange function depends on the Caputo-Katugampola fractional ...of fractional operator is a generalization of the Caputo and ... See full document
15
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