Displaying similar documents to “Addendum to “Initial Value Problems for Fractional Functional Differential Inclusions with Hadamard Type Derivative””

On a partial Hadamard fractional integral inclusion

Aurelian Cernea (2016)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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We study a class of nonconvex Hadamard fractional integral inclusions and we establish some Filippov type existence results.

Existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems

Choukri Derbazi, Hadda Hammouche (2021)

Mathematica Bohemica

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We study the existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems. Our results are based on Schauder's fixed point theorem and the Banach contraction principle fixed point theorem. Examples are provided to illustrate the main results.

On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)

Małgorzata Klimek (2011)

Banach Center Publications

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One-term and multi-term fractional differential equations with a basic derivative of order α ∈ (0,1) are solved. The existence and uniqueness of the solution is proved by using the fixed point theorem and the equivalent norms designed for a given value of parameters and function space. The explicit form of the solution obeying the set of initial conditions is given.

Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces

Zuomao Yan (2010)

Annales Polonici Mathematici

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The paper establishes a sufficient condition for the existence of mild solutions of fractional functional integrodifferential equations with nonlocal conditions in Banach spaces. Our approach is based on Schaefer's fixed point theorem combined with the use of strongly continuous operator semigroups. As an application, we also consider a fractional partial functional integrodifferential equation.

IVPs for singular multi-term fractional differential equations with multiple base points and applications

Yuji Liu, Pinghua Yang (2014)

Applicationes Mathematicae

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The purpose of this paper is to study global existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. By constructing a special Banach space and employing fixed-point theorems, some sufficient conditions are obtained for the global existence and uniqueness of solutions of this kind of equations involving Caputo fractional derivatives and multiple base points. We apply the results to solve the forced logistic model with multi-term...