http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
J.A.Nanware,D.B.Dhaigude 장전수학회 2014 Advanced Studies in Contemporary Mathematics Vol.24 No.3
In this paper, sufficient conditions are established for the existence of solutions for a class of boundary value problems for differential equations of non-integer order involving Caputo fractional derivative. To establish sufficient conditions for existence of solutions for a class of boundary value problems for differential equations of non-integer order involving Caputo fractional derivative we apply fixed point theorems.
J.A.Nanware,B. D. Dawkar,M. S. Panchal 경남대학교 기초과학연구소 2021 Nonlinear Functional Analysis and Applications Vol.26 No.5
Existence and uniqueness results for solutions of system of Riemann-Liouville (R-L) fractional differential equations with initial time difference are obtained. Monotone technique is developed to obtain existence and uniqueness of solutions of system of R-L fractional differential equations with initial time difference.
J.A.Nanware,Madhuri N. Gadsing 경남대학교 기초과학연구소 2021 Nonlinear Functional Analysis and Applications Vol.26 No.5
In this paper, first order nonlinear Liouville-Caputo fractional differential equations is studied. The existence and uniqueness of a solution are investigated by using Krasnoselskii and Banach fixed point theorems and the method of lower and upper solutions. Finally, an example is given to illustrate our results.
STUDIES ON MONOTONE ITERATIVE TECHNIQUE FOR NONLINEAR SYSTEM OF INITIAL VALUE PROBLEMS
J.A.Nanware,M. N. Gadsing 충청수학회 2022 충청수학회지 Vol.35 No.1
Nonlinear system of initial value problems involving R-L fractional derivative is studied. Monotone iterative technique coupled with lower and upper solutions is developed for the problem. It is successfully applied to study qualitative properties of solutions of nonlinear system of initial value problem when the function on the right hand side is nondecreasing.
INTEGRAL BOUNDARY VALUE PROBLEM FOR SYSTEM OF RIEMANN-LIOUVILLE FRACTIONAL DIFFERENTIAL EQUATIONS
J.A.Nanware 장전수학회 2016 Proceedings of the Jangjeon mathematical society Vol.19 No.2
Monotone method is developed for integral boundary value problem for system of Riemann-Liouville fractional differential equations using method of lower and upper solutions for the class of continuous functions. Two monotone sequences converging to minimal and maximal solutions are obtained. As an application of the monotone method existence and uniqueness of solution of integral boundary value problem for system of Riemann-Liouville fractional differential equations is obtained.