Nonlocal Cauchy problem for fractional evolution equations

Y Zhou, F Jiao - Nonlinear analysis: real world applications, 2010 - Elsevier
In this paper, the nonlocal Cauchy problem is discussed for the fractional evolution
equations in an arbitrary Banach space and various criteria on the existence and …

[HTML][HTML] Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions

B Ahmad, JJ Nieto - Computers & Mathematics with Applications, 2009 - Elsevier
Existence results for a coupled system of nonlinear fractional differential equations with
three-point boundary conditions - ScienceDirect Skip to main contentSkip to article Elsevier logo …

Some existence results on nonlinear fractional differential equations

D Baleanu, S Rezapour… - … Transactions of the …, 2013 - royalsocietypublishing.org
In this paper, by using fixed-point methods, we study the existence and uniqueness of a
solution for the nonlinear fractional differential equation boundary-value problem D α u (t)= f …

[BUCH][B] Fractional differential equations and inclusions: classical and advanced topics

S Abbas, M Benchohra, JE Lazreg, JJ Nieto, Y Zhou - 2023 - World Scientific
In this chapter, we introduce notations, definitions, and preliminary facts that will be used in
the remainder of this book. Some notations and definitions from the fractional calculus, some …

A study of nonlinear Langevin equation involving two fractional orders in different intervals

B Ahmad, JJ Nieto, A Alsaedi, M El-Shahed - Nonlinear Analysis: Real …, 2012 - Elsevier
This paper studies a nonlinear Langevin equation involving two fractional orders α∈(0, 1]
and β∈(1, 2] with three-point boundary conditions. The contraction map** principle and …

On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order

B Ahmad, S Sivasundaram - Applied Mathematics and Computation, 2010 - Elsevier
In this paper, we prove the existence and uniqueness of solutions for a four-point nonlocal
boundary value problem of nonlinear integro-differential equations of fractional order q∈(1 …

On Ulam's stability for a coupled systems of nonlinear implicit fractional differential equations

Z Ali, A Zada, K Shah - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability
including Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias …

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 …

The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations

Y Zhao, S Sun, Z Han, Q Li - Communications in Nonlinear Science and …, 2011 - Elsevier
In this paper, we study the existence on multiple positive solutions for the nonlinear
fractional differential equation boundary value problem. where 2< α⩽ 3 is a real …

[PDF][PDF] New existence results for nonlinear fractional differential equations with three-point integral boundary conditions

B Ahmad, SK Ntouyas, A Alsaedi - Advances in Difference Equations, 2011 - Springer
This paper studies a boundary value problem of nonlinear fractional differential equations of
order with three-point integral boundary conditions. Some new existence and uniqueness …