Results 41 to 50 of about 279 (112)
Ulam Stabilities for the Darboux Problem for Partial Fractional Differential Inclusions
Demonstratio Mathematica, 2014 In this article, we investigate some Ulam’s type stability concepts for the Darboux problem of partial fractional differential inclusions with a nonconvex valued right hand side. Our results are based upon Covitz-Nadler fixed point theorem and fractional
Abbas Saïd, Benchohra Mouffak
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On a fractional integro-differential inclusion
Electronic Journal of Qualitative Theory of Differential Equations, 2014 Summary: We study a Cauchy problem for a fractional integro-differential inclusion of order \(\alpha \in (1,2]\) involving a nonconvex set-valued map. Arcwise connectedness of the solution set is provided. Also we prove that the set of selections corresponding to the solutions of the problem considered is a retract of the space of integrable functions ...
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Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces [PDF]
Mathematica Bohemica, 2017 Summary: We consider a nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in a Banach space. The existence of at least one solution is proved by using the set-valued analog of Mönch fixed point theorem associated with the technique of measures of noncompactness.
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Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions [PDF]
Journal of Applied Mathematics, 2012 This paper deals with the existence results of integral solutions for nondensely defined fractional evolution differential inclusions. Our approach is based on integrated semigroup theory and a fixed point theorem for condensing map due to Martelli. An example is also given to illustrate our results.
Zhang, Zufeng, Liu, Bin
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Alexandria Engineering Journal, 2020 Y. Xu (2016) investigated existence results of Caputo fractional differential equations with integral and anti-periodic boundary conditions of fractional order α∈(1,2).
Mahnaz Khanehgir +3 more
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Complexity, 2018 The exact controllability results for Hilfer fractional differential inclusions involving nonlocal initial conditions are presented and proved. By means of the multivalued analysis, measure of noncompactness method, fractional calculus combined with the ...
Jun Du +3 more
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Hilfer-Katugampola fractional stochastic differential inclusions with Clarke sub-differential
HeliyonThe objective of this paper is to investigate the existence of mild solutions and optimal controls for a class of stochastic Hilfer-Katugampola fractional differential inclusions (SHKFDIs) with non-instantaneous impulsive (NIIs) that is strengthened by Brownian motion (BM) and the Clarke sub-differential.
Noorah Mshary +3 more
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International Journal of Analysis and Applications, 2017 We study initial value problems of sequential fractional differential equations and inclusions involving a Caputo type differential operator of the form: $\left(^{C}D_{a+}^{\alpha }+\lambda _{1}~^{C}D_{a+}^{\alpha -1}+\lambda _{2}~^{C}D_{a+}^{\alpha -2 ...
Bashir Ahmad +2 more
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Abstract and Applied Analysis, 2013 We discuss the existence of solutions for Langevin fractional differential inclusions involving two fractional orders with four-point multiterm fractional integral boundary conditions.
Ahmed Alsaedi +2 more
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Existence Results for Fractional Differential Inclusions [PDF]
Dynamic Systems and Applications, 2021 Amouria Hammou, Samira Hamani
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