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11 results on '"KHODABAKHSHI, NEDA"'

3. Analysis of mixed-order Caputo fractional system with nonlocal integral boundary condition

Author

YILDIZ, Tuğba Akman, KHODABAKHSHI, Neda, and BALEANU, Dumitru

Subjects
Caputo derivative,coupled system,boundary conditions,existence and uniqueness,fixed point theorem
Abstract

This paper deals with a mixed-order Caputo fractional system with nonlocal integral boundary conditions. This study can be considered as an extension of previous studies, since the orders of the equations lie on different intervals. We discuss the existence and uniqueness of the solution using fixed point methods. We enrich the study with an example.

Published
2018

6. The existence of extremal solutions to nonlinear fractional integro-differential equations with advanced arguments

Author

KHODABAKHSHİ, Neda and VAEZPOUR, S. Mansour

Subjects
Matematik, Monotone iterative method,Riemann-Liouville fractional derivative,Upper and lower solutions, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Mathematics
Abstract

This paper deals with the existence of extremal solutions for nonlinear fractional integro-differential equations with advanced arguments. Our analysis rely on monotone iterative method based on upper and lower solutions. Also, we give an illustrative example in order to indicate the validity of our assumptions.

Published
2015

8. Analysis of mixed-order Caputo fractional system with nonlocal integral boundary condition.

Author

AKMAN YILDIZ, Tuğba, KHODABAKHSHI, Neda, and BALEANU, Dumitru

Subjects
*BOUNDARY value problems, *INTEGRAL equations, *CAPUTO fractional derivatives, *INTERVAL analysis, *EXISTENCE theorems, *UNIQUENESS (Mathematics)
Abstract

This paper deals with a mixed-order Caputo fractional system with nonlocal integral boundary conditions. This study can be considered as an extension of previous studies, since the orders of the equations lie on different intervals. We discuss the existence and uniqueness of the solution using fixed point methods. We enrich the study with an example. [ABSTRACT FROM AUTHOR]

Published
2018
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9. ON DYNAMICS OF FRACTIONAL-ORDER MODEL OF HCV INFECTION.

Author

KHODABAKHSHI, NEDA, VAEZPOUR, S. MANSOUR, and BALEANU, DUMITRU

Subjects
*CAPUTO fractional derivatives, *HEPATITIS C virus, *LAGRANGIAN points, *COMPUTER simulation, *CIRRHOSIS of the liver
Abstract

In this paper, we investigate the dynamical behavior of the fractionalorder model within Caputo derivative of HCV infection. Stability analysis of the equilibrium points is according to the basic reproduction number R0. The numerical simulations are also presented to illustrate the results. [ABSTRACT FROM AUTHOR]

Published
2017

11. COMMON FIXED POINT THEOREMS VIA MEASURE OF NONCOMPACTNESS.

Author

KHODABAKHSHI, NEDA and VAEZPOUR, S. MANSOUR

Subjects
*FIXED point theory, *COMMUTING operators (Quantum mechanics), *BANACH spaces
Abstract

In this paper, we provide sufficient conditions for the existence of common fixed point for two commuting operators with the technique associated with measure of noncompactness in Banach spaces. Our results generalize Darbo's fixed point theorem and also some fixed point theorems which were recently proved by some authors [2, 13]. [ABSTRACT FROM AUTHOR]

Published
2016

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