Positive solutions of nonlinear fractional differential equations with integral boundary value conditions

A Cabada, G Wang - Journal of Mathematical Analysis and Applications, 2012 - Elsevier
Positive solutions of nonlinear fractional differential equations with integral boundary value
conditions Page 1 J. Math. Anal. Appl. 389 (2012) 403–411 Contents lists available at SciVerse …

[HTML][HTML] A new Jacobi operational matrix: an application for solving fractional differential equations

EH Doha, AH Bhrawy, SS Ezz-Eldien - Applied Mathematical Modelling, 2012 - Elsevier
In this paper, we derived the shifted Jacobi operational matrix (JOM) of fractional derivatives
which is applied together with spectral tau method for numerical solution of general linear …

Nonlinear fractional differential equations with integral boundary value conditions

A Cabada, Z Hamdi - Applied Mathematics and Computation, 2014 - Elsevier
In this paper, we are interested in the study of the existence of the solutions of a class of
nonlinear boundary value problem of fractional differential equations with integral boundary …

Fractional integro-differential calculus and its control-theoretical applications. I. Mathematical fundamentals and the problem of interpretation

AG Butkovskii, SS Postnov, EA Postnova - Automation and Remote Control, 2013 - Springer
The review is devoted to using the fractional integro-differential calculus for description of
the dynamics of various systems and control processes. Consideration was given to the …

Impulsive periodic boundary value problems for fractional differential equation involving Riemann–Liouville sequential fractional derivative

C Bai - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
In this paper, we investigate the existence of solutions of the periodic boundary value
problem for nonlinear impulsive fractional differential equation involving Riemann–Liouville …

[PDF][PDF] A new operational matrix of fractional integration for shifted Jacobi polynomials

AH Bhrawy, MM Tharwat, MA Alghamdi - Bull. Malays. Math. Sci. Soc, 2014 - math.usm.my
A new shifted Jacobi operational matrix (SJOM) of fractional integration of arbitrary order is
introduced and applied together with spectral tau method for solving linear fractional …

Applications of the fractional Sturm-Liouville problem to the space-time fractional diffusion in a finite domain

M Klimek, AB Malinowska… - Fractional Calculus and …, 2016 - degruyter.com
The space–time fractional diffusion equations on finite domain model anomalous diffusion
behavior with large particle jumps combined with long waiting times. In this work we prove …

Discrete and continuous fractional persistence problems–the positivity property and applications

J Cresson, A Szafrańska - … in Nonlinear Science and Numerical Simulation, 2017 - Elsevier
In this article, we study the continuous and discrete fractional persistence problem which
looks for the persistence of properties of a given classical (α= 1) differential equation in the …

New iterative method: an application for solving fractional physical differential equations

AA Hemeda - Abstract and Applied Analysis, 2013 - Wiley Online Library
The new iterative method with a powerful algorithm is developed for the solution of linear
and nonlinear ordinary and partial differential equations of fractional order as well. The …

New semi-analytical solution of fractional Newell–Whitehead–Segel equation arising in nonlinear optics with non-singular and non-local kernel derivative

S Maghsoudi-Khouzani, A Kurt - Optical and Quantum Electronics, 2024 - Springer
In this paper, a combined form of Laplace transform is applied with the Adomian
Decomposition technique for the first time to obtain new semi-analytical solutions of the …