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Legendre's necessary condition for fractional Bolza functionals with mixed initial/final constraints

• Authors : Bourdin, Loïc; Ferreira, Rui A. C.;

Subjects: Calculus of variations; Bolza functional; mixed initial/final constraints

• Source: ISSN: 0022-3239.

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First-and second-order necessary optimality conditions for Bolza functionals with Caputo fractional derivatives and general mixed initial/final constraints

• Authors : Bourdin, Loïc; Ferreira, Rui A. C.;

Subjects: Calculus of variations; Bolza functional; mixed initial/final constraints

• Source: https://hal.archives-ouvertes.fr/hal-02568662 ; 2020.

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Stability of a class of entropies based on fractional calculus.

• Authors : Ferreira, Rui A. C.¹ (AUTHOR)

Subjects: *ENTROPY; *FRACTIONAL calculus

• Source: Journal of Applied Analysis. Jun2022, Vol. 28 Issue 1, p105-107. 3p.

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Fractional calculus of variations: a novel way to look at it.

• Authors : Ferreira, Rui A.C.¹ (AUTHOR)

Subjects: *FRACTIONAL calculus; *CALCULUS of variations; *EULER-Lagrange equations

• Source: Fractional Calculus & Applied Analysis. Aug2019, Vol. 22 Issue 4, p1133-1144. 12p.

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Diamond-α Jensen's Inequality on Time Scales.

• Authors : Ammi, Moulay Rchid Sidi¹; Ferreira, Rui A. C.¹; Torres, Delfim F. M.¹

• Source: Journal of Inequalities & Applications. 2008, Vol. 2008, p1-13. 13p.

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An Entropy Formulation Based on the Generalized Liouville Fractional Derivative.

• Authors : Ferreira, Rui A. C.¹ (AUTHOR) ; Tenreiro Machado, J.² (AUTHOR)

• Source: Entropy. Jul2019, Vol. 21 Issue 7, p638-638. 1p.

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Lyapunov-type inequality for an anti-periodic fractional boundary value problem.

• Authors : Ferreira, Rui A. C.¹

Subjects: *BOUNDARY value problems; *LYAPUNOV functions; *MATHEMATICAL inequalities

• Source: Fractional Calculus & Applied Analysis. Feb2017, Vol. 20 Issue 1, p284-291. 8p.

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A counterexample to a Frederico–Torres fractional Noether-type theorem.

• Authors : Ferreira, Rui A.C.¹ ; Malinowska, Agnieszka B.²

Subjects: *FRACTIONAL calculus; *CONSERVATION laws (Mathematics); *LAGRANGIAN functions

• Source: Journal of Mathematical Analysis & Applications. Sep2015, Vol. 429 Issue 2, p1370-1373. 4p.

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A DISCRETE FRACTIONAL GRONWALL INEQUALITY.

• Authors : Ferreira, Rui A. C.¹

Subjects: *DISCRETE systems; *FRACTIONAL calculus; *GRONWALL inequalities

• Source: Proceedings of the American Mathematical Society. May2012, Vol. 140 Issue 5, p1605-1612. 8p.

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Positive solutions for a class of boundary value problems with fractional -differences

• Authors : Ferreira, Rui A.C.¹

Subjects: *NUMERICAL solutions to nonlinear boundary value problems; *DIFFERENCE equations; *FIXED point theory

• Source: Computers & Mathematics with Applications. Jan2011, Vol. 61 Issue 2, p367-373. 7p.

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