Search results for "Fractional differential"

showing 3 items of 13 documents

Fixed points of α-type F-contractive mappings with an application to nonlinear fractional differential equation

2016

Abstract In this paper, we introduce new concepts of α-type F-contractive mappings which are essentially weaker than the class of F-contractive mappings given in [21, 22] and different from α-GF-contractions given in [8]. Then, sufficient conditions for the existence and uniqueness of fixed point are established for these new types of contractive mappings, in the setting of complete metric space. Consequently, the obtained results encompass various generalizations of the Banach contraction principle. Moreover, some examples and an application to nonlinear fractional differential equation are given to illustrate the usability of the new theory.

Pure mathematicsClass (set theory)General Mathematics010102 general mathematicsMathematical analysisGeneral Physics and AstronomyFixed pointType (model theory)Fixed point01 natural sciencesComplete metric space010101 applied mathematicsNonlinear fractional differential equationsNonlinear fractional differential equationPeriodic pointsSettore MAT/05 - Analisi MatematicaUniqueness0101 mathematicsContraction principleMathematics
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Nonexistence Results for Higher Order Fractional Differential Inequalities with Nonlinearities Involving Caputo Fractional Derivative

2021

Higher order fractional differential equations are important tools to deal with precise models of materials with hereditary and memory effects. Moreover, fractional differential inequalities are useful to establish the properties of solutions of different problems in biomathematics and flow phenomena. In the present work, we are concerned with the nonexistence of global solutions to a higher order fractional differential inequality with a nonlinearity involving Caputo fractional derivative. Namely, using nonlinear capacity estimates, we obtain sufficient conditions for which we have no global solutions. The a priori estimates of the structure of solutions are obtained by a precise analysis …

Work (thermodynamics)General MathematicsStructure (category theory)test function methodFractional calculusNonlinear systemFlow (mathematics)Settore MAT/05 - Analisi Matematicanonexistenceglobal solutionComputer Science (miscellaneous)Test functions for optimizationQA1-939Applied mathematicsOrder (group theory)A priori and a posteriorihigher order fractional differential inequalityreaction-diffusion processEngineering (miscellaneous)MathematicsMathematicsMathematics
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Representation of Stationary Multivariate Gaussian Processes Fractional Differential Approach

2011

In this paper, the fractional spectral moments method (H-FSM) is used to generate stationary Gaussian multivariate processes with assigned power spectral density matrix. To this aim, firstly the N-variate process is expressed as sum of N fully coherent normal random vectors, and then, the representation in terms of HFSM is used.

symbols.namesakeMathematical analysissymbolsRepresentation (systemics)Applied mathematicsMultivariate normal distributionMultivariate Processes Fractional Calculus Fractional Spectral MomentsFractional differentialSettore ICAR/08 - Scienza Delle CostruzioniGaussian processMathematicsProceedings of the 6th International Conference on Computational Stochastic Mechanics(CSM-6)
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