Results 61 to 70 of about 4,186,617 (302)
Impulsive Tempered Ψ-Fractional Differential Equations with Boundary and Integral Conditions
Fractal and FractionalThis paper studies mixed impulsive boundary value problems involving tempered Ψ-fractional derivatives of Caputo type. By introducing exponential tempering into the fractional framework, the proposed model effectively captures systems with fading memory ...
Chayapat Sudprasert +3 more
doaj +1 more source
Abstract and Applied Analysis, 2014 Some new weakly singular Henry-Gronwall type integral inequalities with “maxima” are established in this paper. Applications to Caputo fractional differential equations with “maxima” are also presented.
Phollakrit Thiramanus +2 more
doaj +1 more source
Utility of the APE2 Score as a Diagnostic Tool for Autoimmune Encephalitis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To retrospectively evaluate the diagnostic performance of the Antibody Prevalence in Epilepsy and Encephalopathy (APE2) score relative to clinician‐adjudicated autoimmune encephalitis (AE) and the Graus criteria in a tertiary neuroimmunology referral cohort, including antibody‐negative AE.
Bijoya Basu +3 more
wiley +1 more source
Impulsive Fractional Boundary Value Problems via ψ- and q-Fractional Calculus
MathematicsThis paper investigates a new class of mixed impulsive fractional boundary value problems (BVPs) in which the mixing occurs both in the governing fractional differential equations—through the combined presence of ψ-Caputo and quantum (q-difference ...
Chayapat Sudprasert +3 more
doaj +1 more source
Advances in Mathematical Physics, 2014 We study existence and uniqueness of solutions for a problem consisting of nonlinear Langevin equation of Hadamard-Caputo type fractional derivatives with nonlocal fractional integral conditions. A variety of fixed point theorems are used, such as Banach’
Jessada Tariboon +2 more
doaj +1 more source
Noninstantaneous Impulsive Fractional Quantum Hahn Integro-Difference Boundary Value Problems
Mathematics, 2020 In this paper, we study the existence and uniqueness results for noninstantaneous impulsive fractional quantum Hahn integro-difference boundary value problems with integral boundary conditions, by using Banach contraction mapping principle and Leray ...
Surang Sitho +3 more
doaj +1 more source
Mathematics, 2022 In this paper, we establish existence and uniqueness results for single-valued as well as multi-valued (k,ψ)-Hilfer boundary value problems of order in (1,2], subject to nonlocal integro-multi-point boundary conditions.
Sotiris K. Ntouyas +2 more
doaj +1 more source
Diffusion Basis Spectrum Imaging of Tissue Microstructure and Early Treatment in Multiple Sclerosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Conventional MRI cannot resolve the coexisting pathological processes within multiple sclerosis tissue. Diffusion Basis Spectrum Imaging decomposes the diffusion signal into fiber, cell, and hindered ratios indexing axonal integrity, cellularity, and extracellular space, respectively.
Apisit Kaewsanit +10 more
wiley +1 more source
Impulsive Multiorders Riemann-Liouville Fractional Differential Equations
Discrete Dynamics in Nature and Society, 2015 Impulsive multiorders fractional differential equations are studied. Existence and uniqueness results are obtained for first- and second-order impulsive initial value problems by using Banach’s fixed point theorem in an appropriate weighted space ...
Weera Yukunthorn +2 more
doaj +1 more source
Advances in Difference Equations, 2019 In this paper, we study the existence and uniqueness for a new class of impulsive fractional boundary value problems with separated boundary conditions containing the Caputo fractional derivative of a function with respect to another function.
Chanon Promsakon +3 more
doaj +1 more source