On Nonlinear Fractional Integro-Differential Equations with Positive Constant Coefficient

被引：9

作者：

Tate, Shivaji ^{[1
]}

Kharat, V. V. ^{[2
]}

Dinde, H. T. ^{[3
]}

机构：

[1] Kisan Veer Mahavidyalaya, Dept Math, Wai 412803, Maharashtra, India

[2] NB Navale Sinhgad Coll Engn Kegaon, Dept Math, Solapur 413255, Maharashtra, India

[3] Karmaveer Bhaurao Patil Coll, Dept Math, Urun Islampur 415409, Maharashtra, India

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 02期

关键词：

Fractional integro-differential equation; existence of solution; continuous dependence; fixed point theorem; Pachpatte's inequality; DIFFERENTIAL-EQUATIONS; CAUCHY-PROBLEM;

D O I：

10.1007/s00009-019-1325-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this study is to investigate the existence and other properties of solution of nonlinear fractional integro-differential equations with constant coefficient. Also with the help of Pachpatte's inequality, we prove the continuous dependence of the solutions.

引用

页数：20

共 50 条

[31] A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations
Rahimkhani, Parisa
Ordokhani, Yadollah
Babolian, Esmail
[J]. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2018, 13 (02): : 111 - 132
[32] CLASS OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS
LEUNG, KV
MANGERON, D
OGUZTORE.MN
STEIN, RB
[J]. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1973, 54 (05): : 699 - 705
[33] Hyers-Ulam Stability of Fractional Integro-differential Equation with a Positive Constant Coefficient involving the Generalized Caputo Fractional Derivative
Ho Vu
Ngo Van Hoa
[J]. FILOMAT, 2022, 36 (18) : 6299 - 6316
[34] Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations
Janne Korvenpää
Tuomo Kuusi
Giampiero Palatucci
[J]. Mathematische Annalen, 2017, 369 : 1443 - 1489
[35] Application of the collocation method for solving nonlinear fractional integro-differential equations
Eslahchi, M. R.
Dehghan, Mehdi
Parvizi, M.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 257 : 105 - 128
[36] On a Class of Nonlinear Integro-Differential Equations
Khachatryan K.A.
Petrosyan H.S.
[J]. Siberian Advances in Mathematics, 2022, 32 (4) : 250 - 268
[37] Some Theorems on Cauchy Problem for Nonlinear Fractional Differential Equations with Positive Constant Coefficient
Tate, Shivaji
Dinde, H. T.
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (02)
[38] Some Theorems on Cauchy Problem for Nonlinear Fractional Differential Equations with Positive Constant Coefficient
Shivaji Tate
H. T. Dinde
[J]. Mediterranean Journal of Mathematics, 2017, 14
[39] Dynamical Analysis of Fractional Integro-Differential Equations
Hassan, Taher S.
Odinaev, Ismoil
Shah, Rasool
Weera, Wajaree
[J]. MATHEMATICS, 2022, 10 (12)
[40] A Friendly Iterative Technique for Solving Nonlinear Integro-Differential and Systems of Nonlinear Integro-Differential Equations
Hemeda, A. A.
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2018, 15 (03)

← 1 2 3 4 5 →