Results 71 to 80 of about 408 (175)

Generalized fractional differential equation with Hilfer fractional derivatives

Kazakh Mathematical Journal
In this paper, we investigate the solvability of fractional differential equations involving the Hilfer fractional derivative. This derivative serves as an interpolation between the Caputo and Riemann–Liouville derivatives, depending on the value of a parameter. Our study extends previous results obtained by G. Bozkurt, D. Albayrak, N. Dernekin (2019),
Bayan Bekbolat, Sultan Kimatov, Akniyet Mussakhan, Niyaz Tokmagambetov   +3 more
openaire   +1 more source

Contraction‐Type Fixed‐Point Theorem for Bivariate/Multivariate Self‐Mappings in Fuzzy Banach Spaces and Hyers–Ulam Stability of Multivariate Functional Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To address the lack of dedicated tools for analyzing the stability of bivariate functional equations in fuzzy environments, this paper investigates fixed‐point theory and functional equation stability in fuzzy Banach spaces (FBSs). First, building on the Bag–Samanta fuzzy norm, we supplement and prove the “proposition on convergence preservation of ...
Gang Lyu, Yang Liu, Yuanfeng Jin, Choonkil Park, Erhan Güler   +4 more
wiley   +1 more source

Exact Solutions and Dynamic Analysis for a Fractional Partial Differential Equation Emerging in Mathematical Biology

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates a fractional partial differential equation in the field of mathematical biology. The Bernoulli (G′⁄G)‐expansion method is applied to solve this class of fractional‐order nonlinear differential equations and derive analytical solutions.
Hongqiang Tu, Yongyi Gu, Guotao Wang
wiley   +1 more source

A Hybrid Fractal‐Fractional and Machine Learning Framework for Zika Virus Spread Prediction

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We develop and analyze a Zika transmission model that couples mosquito‐borne and sexual pathways with host awareness and vector control interventions, assuming no disease‐induced mortality. The dynamics are formulated in a fractal‐fractional framework with order ℘ and fractal dimension ς, allowing memory and nonlocal effects.
Ashraf Al-Quran, Ramsha Shafqat, Ateq Alsaadi, Abdelhamid Mohammed Djaouti, Dengfeng Lu   +4 more
wiley   +1 more source

k-Hilfer-Prabhakar Fractional Derivatives and Applications

, 2016
In this paper we define the regularized version of k-Prabhakar fractional derivative, k-Hilfer-Prabhakar fractional derivative, regularized version of k-Hilfer-Prabhakar fractional derivative and find their Laplace and Sumudu transforms. Using these results, the relation between k-Prabhakar fractional derivative and its regularized ver- sion involving ...
Panchal, S. K., Khandagale, Amol D., Dole, Pravinkumar V.   +2 more
openaire   +2 more sources

Nonlocal boundary value problems for Hilfer-type pantograph fractional differential equations and inclusions

Advances in Difference Equations, 2020
In this paper, we study boundary value problems, involving the Hilfer fractional derivative, for pantograph fractional differential equations and inclusions supplemented by nonlocal integral boundary conditions.
Athasit Wongcharoen, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

On the theory of fractional terminal value problem with \(\psi\)-Hilfer fractional derivative

AIMS Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammed A. Almalahi, Mohammed S. Abdo, Satish K. Panchal   +2 more
openaire   +2 more sources

Solvability of Generalized Hilfer Fractional p-Laplacian Differential Problems in Orlicz Spaces

Fractal and Fractional
This paper investigates non-fractional operators, a type of nonlocal operator, within the framework of Orlicz spaces. Using inclusions between certain function spaces, we prove the continuity and/or compactness of generalized operators in Orlicz spaces ...
Mieczysław Cichoń, Masouda M. A. Al-Fadel, Hussein A. H. Salem   +2 more
doaj   +1 more source

On the Existence of Solutions and Ulam-Type Stability for a Nonlinear ψ-Hilfer Fractional-Order Delay Integro-Differential Equation

Fractal and Fractional
In this work, we address a nonlinear ψ-Hilfer fractional-order Volterra integro-differential equation that incorporates n-multiple-variable time delays.
Cemil Tunç, Fehaid Salem Alshammari, Fahir Talay Akyıldız   +2 more
doaj   +1 more source

Controllability of impulsive nonlinear ψ-Hilfer fractional integro-differential equations

Results in Control and Optimization
Sufficient conditions for controllability of impulsive nonlinear integro-differential equations with ψ-Hilfer fractional derivative are established. The result are obtained by using fractional calculus and Schaefer’s fixed point theorem.
A.M. Sayed Ahmed, Mahmoud A. AL-Nahhas, Othman A.M. Omar, Dimplekumar N. Chalishajar, Hamdy M. Ahmed   +4 more
doaj   +1 more source