Solution of fractional differential equations with the help of ordinary differential equations
Abstract Recently, fractional differential equations (FDEs) have seen increasing use in the modeling of complex systems with memory and hereditary features, such as financial models, anomalous diffusion processes, and viscoelastic materials. Nevertheless, solving FDEs directly becomes far from straightforward due to the singularity and nonlocality of
Sakalkle, Dr. Milind Madhukar +1 more
openaire +1 more source
Solving fractional-order ordinary differential equations via Adomian decomposition method
This master's thesis deals with solving fractional-order ordinary differential equations by the Adomian decomposition method. A part of the work is therefore devoted to the theory of equations containing differential operators of non-integer order ...
Šustková, Apolena
core
Transcripts enriched in codons that trigger P‐site tRNA‐mediated mRNA decay possess stable mRNA
PTMD codons were first described by Mendel et al. as mediators of an mRNA decay pathway dependent on the human protein CNOT3, homologous to yeast Not5. Our findings confirm that PTMD codons destabilize transcripts; however, unlike in yeast, the human pathway specifically targets and slightly destabilizes primarily stable mRNAs.
Rodolfo Lopes Carneiro +1 more
wiley +1 more source
Exact solutions for a class of space-time fractional mixed (1+1)-dimensional KdV equations
Exact solutions of a class of space-time fractional mixed (1+1)-dimensional KdV equations with modified Riemann-Liouville fractional derivative are considered.
LI Lin-Fang, SHU Ji, WEN Hui-Xia
doaj
FRACTIONAL LAPLACE TRANSFORM TO SOLVE CONFORMABLE DIFFERENTIAL EQUATIONS [PDF]
In this paper, we convert some of the conformable fractional differential equations (CFDEs) into ordinary differential equations using the fractional Laplace transform.
Mahmoudi, Yaghoub +3 more
core +1 more source
ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown +6 more
wiley +1 more source
Regarding on the exact solutions for the nonlinear fractional differential equations
In this work, we have considered the modified simple equation (MSE) method for obtaining exact solutions of nonlinear fractional-order differential equations.
Kaplan Melike +2 more
doaj +1 more source
Dirac Factorization, Partial/Ordinary Differential Equations and Fractional Calculus
The Dirac factorization method (DFM) is the key feature of the present investigation. It is addressed to the relevant use in diverse fields of research, regarding, e.g., the handling of pseudo-operators arising in quantum mechanics and fractional calculus.
Giuseppe Dattoli +2 more
openaire +2 more sources
Epilepsy‐Associated Variants of a Single SCN1A Codon Exhibit Divergent Functional Properties
ABSTRACT Objective Pathogenic variants in SCN1A, which encodes the voltage‐gated sodium channel NaV1.1, are associated with multiple epilepsy syndromes exhibiting a range of clinical severity. SCN1A variants are reported in different syndromes, including Dravet syndrome, which is associated with loss‐of‐function, whereas neonatal/infantile‐onset ...
Lanie N. Liebovitz +3 more
wiley +1 more source
Association Between Motor Pathway Damage and Motor Deficit in Upper and Lower Limb in People With MS
ABSTRACT Objective Corticospinal tract damage is common in people with MS, but the degree of clinical symptoms varies. We hypothesize that corticospinal tract lesions are more extensive and severe in people with MS with motor impairments in both upper and lower limbs.
Mathilde Liffran +13 more
wiley +1 more source

