On the solution of a boundary value problem associated with a fractional differential equation

R Sevinik Adigüzel, Ü Aksoy… - … Methods in the …, 2024 - Wiley Online Library
The problem of the existence and uniqueness of solutions of boundary value problems
(BVPs) for a nonlinear fractional differential equation of order 2< α≤ 3 is studied. The BVP is …

[KNIHA][B] Mittag-Leffler functions, related topics and applications

R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin - 2020 - Springer
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

[KNIHA][B] Fractional calculus: models and numerical methods

D Baleanu, K Diethelm, E Scalas, JJ Trujillo - 2012 - books.google.com
The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …

[KNIHA][B] Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models

F Mainardi - 2022 - books.google.com
Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …

Analysis of fractional differential equations

K Diethelm, NJ Ford - Journal of Mathematical Analysis and Applications, 2002 - Elsevier
We discuss existence, uniqueness, and structural stability of solutions of nonlinear
differential equations of fractional order. The differential operators are taken in the Riemann …

[KNIHA][B] New trends in nanotechnology and fractional calculus applications

D Baleanu, ZB Güvenç, JAT Machado - 2010 - Springer
By the beginning of November 2008, the International Workshops on New Trends in Science
and Technology (NTST 08) and Fractional Differentiation and its Applications (FDA08) were …

[KNIHA][B] Linear fractional diffusion-wave equation for scientists and engineers

Y Povstenko - 2015 - Springer
2.1 Integral transforms.......................... 5 2.1. 1 Laplace transform...................... 5 2.1. 2
Exponential Fourier transform............... 8 2.1. 3 Sin-Fourier transform.................... 10 2.1. 4 …

Positive solutions for boundary value problem of nonlinear fractional differential equation

Z Bai, H Lü - Journal of mathematical analysis and applications, 2005 - Elsevier
In this paper, we investigate the existence and multiplicity of positive solutions for nonlinear
fractional differential equation boundary value problem: where 1< α⩽ 2 is a real number …

On positive solutions of a nonlocal fractional boundary value problem

Z Bai - Nonlinear Analysis: Theory, Methods & Applications, 2010 - Elsevier
In this paper, we investigate the existence and uniqueness of positive solutions for a
nonlocal boundary value problem of fractional differential equation. Firstly, we give Green's …

[PDF][PDF] The analysis of fractional differential equations

K Diethelm, NJ Ford - Lecture notes in mathematics, 2010 - academia.edu
Analysis of Fractional Differential Equations Page 1 See discussions, stats, and author profiles
for this publication at: https://www.researchgate.net/publication/222299516 Analysis of …