Analysis of multi-term time complex fractional diffusion equation with Hilfer-Hadamard fractional derivative

被引：0
作者：
Verma, Pratibha [1 ]
Tiwari, Surabhi [2 ]
机构：
[1] Indian Inst Technol Jodhpur, Dept Math, Jodhpur 342030, Rajasthan, India
[2] Motilal Nehru Natl Inst Technol Allahabad, Dept Math, Prayagraj 211004, Uttar Pradesh, India
来源：
MATHEMATICAL SCIENCES | 2024年
关键词：
Complex fractional derivatives; Hilfer-Hadamard fractional derivative; Fixed point theorems; Existence; Uniqueness; Hyers-Ulam stability; DIFFERENTIAL-EQUATIONS; COUPLED SYSTEM; EXISTENCE; STABILITY;
D O I：
10.1007/s40096-024-00525-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work deals with some new results for existence, uniqueness, and Ulam-Hyers types of stability of the solution of multi-term time complex fractional diffusion equation using Hilfer-Hadamard fractional derivative. We prove the existence and uniqueness of the solution by employing Schaefer's fixed point theorem and Banach fixed point theorem. Further, we present Ulam-Hyers type stability of the solution of multi-term time complex fractional diffusion equation. Moreover, we discuss the boundedness and interchange properties of the Hilfer-Hadamard fractional operator.
引用
收藏
页码：693 / 705
页数：13
相关论文
共 39 条
  • [1] Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
    Abbas, S.
    Benchohra, M.
    Lagreg, J. E.
    Alsaedi, A.
    Zhou, Y.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [2] A study of a coupled system of Hadamard fractional differential equations with nonlocal coupled initial-multipoint conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    Albideewi, Amjad F.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [3] Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type
    Ahmad, Manzoor
    Zada, Akbar
    Alzabut, Jehad
    [J]. DEMONSTRATIO MATHEMATICA, 2019, 52 (01) : 283 - 295
  • [4] Existence and concentration results for some fractional Schrodinger equations in with magnetic fields
    Ambrosio, Vincenzo
    [J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 44 (08) : 637 - 680
  • [5] Global stability of rarefaction waves for the 1D compressible micropolar fluid model with density-dependent viscosity and microviscosity coefficients
    Chen, Zhengzheng
    Wang, Di
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 58
  • [6] Existence and uniqueness analysis of solutions for Hilfer fractional spectral problems with applications
    Ercan, Ahu
    Ozarslan, Ramazan
    Bas, Erdal
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (01)
  • [7] On Caputo modification of the Hadamard fractional derivatives
    Gambo, Yusuf Y.
    Jarad, Fahd
    Baleanu, Dumitru
    Abdeljawad, Thabet
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [8] Well-posedness of Hamilton-Jacobi equations with Caputo's time fractional derivative
    Giga, Yoshikazu
    Namba, Tokinaga
    [J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2017, 42 (07) : 1088 - 1120
  • [9] Efficient alternating direction implicit numerical approaches for multi-dimensional distributed-order fractional integro differential problems
    Guo, T.
    Nikan, O.
    Avazzadeh, Z.
    Qiu, W.
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (06)
  • [10] Harikrishnan S, 2019, TWMS J PURE APPL MAT, V10, P94
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