Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
November 20, 2025Fractal and FractionalOpen Access

A New Laplace-Type Transform on Weighted Spaces with Applications to Hybrid Fractional Cauchy Problems

View Full Paper
Ask AI
Bookmark
Share

Authors

SCSamten ChodenJSJakgrit SompongETEkkarath Thailert

Discussion

Loading...

Member takes

Overview

Analysis shows that linearity and convolution theorems enhance fractional differential equations, pointing to new solutions in hybrid models.

Key Points

  • Explicit solutions derived for hybrid models enhance understanding of complex systems, including memory effects.
  • Key findings reveal linearity and convolution theorems as essential properties of the Laplace transform.
  • Research demonstrates the effectiveness of solving hybrid fractional Cauchy problems with multivariate Mittag-Leffler functions.
  • Methodology includes application to capacitor charging and mass-damper models, supporting innovative approaches to memory effects.

Cite This Study

Choden et al. (2025) studied this question.

synapsesocial.com/papers/6924f084c0ce034ddc35044dhttps://doi.org/10.3390/fractalfract9110751
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Generalized Laplace Transform for Higher-Order Hybrid Fractional Cauchy Problems: Theory and Applications to Memory-Dependent Dynamics2026 · 1 citations
  2. 2Using the Laplace Transform Technique to Solve Hilfer Fractional Partial Differential Equations2026
  3. 3On the fractional Laplacian of a function with respect to another function2024 · 8 citations
  4. 4THEORY AND APPLICATIONS OF THE DOUBLE LAPLACE TRANSFORM FOR LOCAL DERİVATİVES WİTH THE MITTAG LEFFLER KERNEL2025
  5. 5not-yet-known not-yet-known not-yet-known unknown Existence and attractivity of mild solutions for fractional diffusion equations involving the regularized ψ -Hilfer fractional derivatives2024