On abstract Hilfer fractional integrodifferential equations with boundary conditions

Article Properties
Abstract
Cite
Thabet, Sabri T.M., et al. “On Abstract Hilfer Fractional Integrodifferential Equations With Boundary Conditions”. Arab Journal of Mathematical Sciences, vol. 26, no. 1/2, 2019, pp. 107-25, https://doi.org/10.1016/j.ajmsc.2019.03.001.
Thabet, S. T., Ahmad, B., & Agarwal, R. P. (2019). On abstract Hilfer fractional integrodifferential equations with boundary conditions. Arab Journal of Mathematical Sciences, 26(1/2), 107-125. https://doi.org/10.1016/j.ajmsc.2019.03.001
Thabet ST, Ahmad B, Agarwal RP. On abstract Hilfer fractional integrodifferential equations with boundary conditions. Arab Journal of Mathematical Sciences. 2019;26(1/2):107-25.
Journal Category
Science
Mathematics
Refrences
Title Journal Journal Categories Citations Publication Date
A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability Chaos, Solitons & Fractals
  • Science: Mathematics
  • Science: Physics
  • Science: Mathematics
  • Science: Physics
79 2017
A new representation formula for the Hilfer fractional derivative and its application Journal of Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
32 2016
Closed form of the Solutions of some Boundary-Value Problems for Anomalous Diffusion Equation with Hilfer’s Generalized Derivative Cybernetics and Systems Analysis
  • Science: Mathematics
7 2014
Existence and uniqueness for a problem involving Hilfer fractional derivative Computers & Mathematics with Applications
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
281 2012
Existence and uniqueness results for fractional integrodifferential equations with boundary value conditions Communications in Nonlinear Science and Numerical Simulation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Science: Mathematics
  • Science: Mathematics
  • Science: Physics
26 2012
Citations
Title Journal Journal Categories Citations Publication Date
On existence of solutions for $$\Psi $$-Hilfer type fractional BVP of generalized higher order Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
BVP for generalized Hilfer integrodifferential equation with positive constant coefficient International Journal of Dynamics and Control
  • Technology: Mechanical engineering and machinery
  • Technology: Mechanical engineering and machinery
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
2023
Study of Nonlocal Multiorder Implicit Differential Equation Involving Hilfer Fractional Derivative on Unbounded Domains

Journal of Mathematics
  • Science: Mathematics
  • Science: Mathematics
13 2023
Analytical study of $ \mathcal{ABC} $-fractional pantograph implicit differential equation with respect to another function

AIMS Mathematics 4 2023
On coupled snap system with integral boundary conditions in the $ \mathbb{G} $-Caputo sense

AIMS Mathematics 17 2023
Citations Analysis
The category Science: Mathematics 7 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On a new structure of the pantograph inclusion problem in the Caputo conformable setting and was published in 2020. The most recent citation comes from a 2024 study titled On existence of solutions for $$\Psi $$-Hilfer type fractional BVP of generalized higher order. This article reached its peak citation in 2023, with 5 citations. It has been cited in 9 different journals, 22% of which are open access. Among related journals, the AIMS Mathematics cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year