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   Articles with "implicit fractional" as a keyword



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On Ulam’s Stability for a Coupled Systems of Nonlinear Implicit Fractional Differential Equations

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recommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"

DOI: 10.1007/s40840-018-0625-x

Abstract: 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 stability and generalized Ulam–Hyers–Rassias stability of the solutions to a nonlinear coupled systems of… read more here.

Keywords: fractional differential; ulam stability; implicit fractional; stability ... See more keywords
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Integrable solutions for implicit fractional order differential equations with nonlocal condition

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recommendations! Published in 2020 at "Journal of Interdisciplinary Mathematics"

DOI: 10.1080/09720502.2020.1801158

Abstract: Abstract We establish in this work the existence and uniqueness results of integrable solutions for nonlocal problem for fractional implicit differential equations. Our results are based on two fixed point theorems. read more here.

Keywords: fractional order; integrable solutions; differential equations; solutions implicit ... See more keywords
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Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations

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recommendations! Published in 2023 at "Journal of Function Spaces"

DOI: 10.1155/2023/2127600

Abstract: In this paper, we investigate new types of nonlocal implicit problems involving piecewise Caputo fractional operators. The existence and uniqueness results are proved by using some fixed point theorems. Furthermore, we present analogous results involving… read more here.

Keywords: nonlocal implicit; solutions piecewise; qualitative study; study solutions ... See more keywords
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Existence and Ulam stability for implicit fractional q-difference equations

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recommendations! Published in 2019 at "Advances in Difference Equations"

DOI: 10.1186/s13662-019-2411-y

Abstract: This paper deals with some existence, uniqueness and Ulam–Hyers–Rassias stability results for a class of implicit fractional q-difference equations. Some applications are made of some fixed point theorems in Banach spaces for the existence and… read more here.

Keywords: difference equations; difference; fractional difference; equations existence ... See more keywords
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The controllability of nonlinear implicit fractional delay dynamical systems

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recommendations! Published in 2017 at "International Journal of Applied Mathematics and Computer Science"

DOI: 10.1515/amcs-2017-0035

Abstract: Abstract This paper is concerned with the controllability of nonlinear fractional delay dynamical systems with implicit fractional derivatives for multiple delays and distributed delays in control variables. Sufficient conditions are obtained by using the Darbo… read more here.

Keywords: delay dynamical; fractional delay; dynamical systems; controllability nonlinear ... See more keywords