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Fractional Calculus and Applied Analysis, ISSN 1311-0454, 6/2014, Volume 17, Issue 2, pp. 552 - 578
Journal Article
Arabian Journal of Mathematics, ISSN 2193-5343, 3/2016, Volume 5, Issue 1, pp. 1 - 7
This paper deals with some existence and Ulam stability results for a class of partial integral equations via Hadamard’s fractional integral, by applying... 
34K05 | Mathematics, general | Mathematics | 34A08
Journal Article
Fractional Calculus and Applied Analysis, ISSN 1311-0454, 08/2016, Volume 19, Issue 4, pp. 806 - 831
Journal Article
Fractional Calculus and Applied Analysis, ISSN 1311-0454, 04/2019, Volume 22, Issue 2, pp. 242 - 254
We point out a major flaw in the so-called conformable calculus. We demonstrate why it fails at defining a fractional order derivative and where exactly these... 
fractional calculus | Primary 26A33 | conformable derivative | Secondary 34A08 | MATHEMATICS | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal Article
Fractional Calculus and Applied Analysis, ISSN 1311-0454, 04/2017, Volume 20, Issue 2, pp. 307 - 336
Since the 60s of last century Fractional Calculus exhibited a remarkable progress and presently it is recognized to be an important topic in the scientific... 
01A61 | 01A60 | 60G22 | fractional calculus | development | Primary 26A33 | fractional order differential equations | fractional order mathematical models | 35R11 | 01A67 | Secondary 34A08 | applications | MATHEMATICS | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Analysis | Calculus | Differentiation | Mathematical analysis | Fractional calculus
Journal Article
Fractional Calculus and Applied Analysis, ISSN 1311-0454, 10/2016, Volume 19, Issue 5, pp. 1222 - 1249
Journal Article
Fractional Calculus and Applied Analysis, ISSN 1311-0454, 02/2019, Volume 22, Issue 1, pp. 128 - 138
Stable distributions are a class of distributions that have important uses in probability theory. They also have a applications in the theory of fractional... 
stable distributions | Green’s function | 34K37 | fractional diffusions | Primary 35R11 | 60E07 | Secondary 34A08 | Thermodynamics | Probability theory
Journal Article
Fractional Calculus and Applied Analysis, ISSN 1311-0454, 02/2017, Volume 20, Issue 1, pp. 159 - 172
The importance of the concept of stability in fractional order system and control has been recognized for some time now. Recently, it has become evident that... 
93D21 | Primary 26A33 | 34D10 | fractional order systems | stability criterion | 93D09 | fractional order positive definite | linear matrix inequality (LMI) | 93C73 | Secondary 34A08 | MATHEMATICS | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | STABILIZATION
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 17
By using the coincidence degree theory, we present an existence result for a coupled system of nonlinear fractional differential equations with multi-point... 
Coupled system | Fractional differential equations | Analysis | 34B10 | Mathematics, general | Mathematics | Applications of Mathematics | At resonance | Coincidence degree | 34A08 | MATHEMATICS | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS | DIFFERENTIAL-EQUATIONS | Nonlinear equations | Boundary value problems | Differential equations | Research
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 3/2019, Volume 95, Issue 4, pp. 3063 - 3073
We prove that conformable “fractional” differentiability of a function $$f:[0,\infty [\,\longrightarrow \mathbb {R}$$ f : [ 0 , ∞ [ ⟶ R is nothing else than... 
Viscoelasticity | Engineering | Vibration, Dynamical Systems, Control | Fractional analysis | 74D05 | Fractional differential equations | Classical Mechanics | 26A33 | Automotive Engineering | Mechanical Engineering | Fractional derivative | 34A08 | MECHANICS | EQUATIONS | ENGINEERING, MECHANICAL | Electrical engineering | Analysis | Differential equations
Journal Article
Fractional Calculus and Applied Analysis, ISSN 1311-0454, 6/2014, Volume 17, Issue 2, pp. 348 - 360
Journal Article
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 06/2019, Volume 69, Issue 3, pp. 599 - 610
In this paper we investigate the asymptotically periodic behavior of solutions of fractional evolution equations of order 1 < < 2 and in particular existence... 
fractional evolution equations | 34C25 | asymptotically periodic solutions | sectorial operators | 34A08 | EXISTENCE | MATHEMATICS
Journal Article
Advances in Nonlinear Analysis, ISSN 2191-9496, 06/2017, Volume 8, Issue 1, pp. 482 - 496
This paper deals with the existence of periodic solutions of fractional differential equations with periodic impulses. The first part of the paper is devoted... 
34C25 | 34A37 | Fractional differential equations | periodic solutions | impulses | existence result | 34A08 | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
International Journal of Control, ISSN 0020-7179, 06/2017, Volume 90, Issue 6, pp. 1230 - 1244
In this manuscript, we report a new operational technique for approximating the numerical solution of fractional optimal control (FOC) problems. The... 
Gauss quadrature | 33C45 | fractional optimal control problem | 65M70 | Lagrange multiplier method | Orthonormal polynomials | operational matrix | 34A08 | POLYNOMIALS | CABLE | MODELS | CALCULUS | QUADRATURE | NUMERICAL TECHNIQUE | AUTOMATION & CONTROL SYSTEMS | Chebyshev approximation | Legendre functions | Lagrange multipliers | Optimal control
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 06/2018, Volume 68, Issue 3, pp. 563 - 574
In this paper, we explore PD-type ILC schemes of fractional version with pulse compensation for single-input-single-output fractional differential systems.... 
Secondary 34K35, 93B05 | pulse compensation | sign function | type iterative learning control | Primary 26A33, 34A08 | & | fractional differential systems | P&D
Journal Article
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