Results 151 to 160 of about 419 (175)

Fractional integral problems for Hadamard–Caputo fractional Langevin differential inclusions

Journal of Applied Mathematics and Computing, 2015
The authors consider the differential inclusion (of fractional type) \[ D^{\alpha}\big(D^{\beta}+\lambda\big)x(t)\in F\big(t,x(t)\big) \] for \(t\in[1,e]\). The differential inclusion is subjected to the conditions (of nonlocal type) \[ \sum_{i=1}^{m}\theta_{i}I^{\mu_i}x\left(\eta_i\right)=\sum_{j=1}^{n}\phi_{j}I^{\gamma_j}x\left(\omega_j\right) \] and
Ntouyas, Sotiris K., Tariboon, Jessada
openaire   +1 more source

On pseudo-fractional integral inequalities related to Hermite–Hadamard type

Soft Computing, 2015
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Maryam Hosseini, Azizollah Babakhani, Hamzeh Agahi, Sayyed Hashem Rasouli   +3 more
openaire   +2 more sources

Variational problems with Hadamard type fractional integrals

ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014, 2014
This paper is devoted to the study of variational problems with Hadamard type fractional integrals. We present two approaches to solve such type of variational problems: indirect and direct. In the first case we derive necessary optimality conditions which reduce the problem to one involving a fractional integral equation.
Ricardo Almeida, Agnieszka B. Malinowska, M. Luisa Morgado   +2 more
openaire   +1 more source

On Hadamard Fractional Integral and Physical Interpretation

SSRN Electronic Journal, 2022
openaire   +1 more source

Hermite-Hadamard type inequalities via conformable fractional integrals

2017
New Hermite-Hadamard type inequalities for conformable fractional integrals are derived by using a new identity involving conformable fractional integrals.
Set E., Gözpinar A., Ekinci A., Belirlenecek, Set, E., Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey; Gözpinar, A., Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey; Ekinci, A., Department of Mathematics, Faculty of Science and Letters, Agri Ibrahim Cecen University, Agri, Turkey   +4 more
openaire   +5 more sources

Hermite‐Hadamard type inequalities for generalized Riemann‐Liouville fractional integrals of h‐convex functions

Mathematical Methods in the Applied Sciences, 2021
S S Dragomir
exaly  

Solvability of a Hadamard fractional boundary value problem with multi‐term integral and Hadamard fractional derivative boundary conditions

Mathematical Methods in the Applied Sciences
In the present paper, we construct the existence of nontrivial solutions to a new kind of Hadamard fractional boundary value problem on an unbounded domain. With the contribution of some fixed point theorems in cone and the corresponding Green function, we ensure sufficient conditions for the Hadamard fractional boundary value problem.
openaire   +2 more sources

A New Version of the Hermite–Hadamard Inequality for Riemann–Liouville Fractional Integrals

Symmetry, 2020
P O Mohammed, Iver Brevik, Brevik Iver
exaly  

On a partial Hadamard fractional integral inclusion

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2016
openaire   +1 more source

Hermite–Hadamard type inequalities for harmonically convex functions via fractional integrals

Applied Mathematics and Computation, 2014
Imdat İşcan, Shanhe Wu
exaly