The Unique Existence of Solution in the q-Integrable Space for the Nonlinear q-Fractional Differential Equations

Fractals ◽  
2020 ◽  
Author(s):  
Tie Zhang ◽  
Yuzhong Wang
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Existence Of Solution ◽  
Unique Existence ◽  
Fractional Differential

scholarly journals The Existence of Solution for ak-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Dumitru Baleanu ◽  
Sayyedeh Zahra Nazemi ◽  
Shahram Rezapour
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Existence Of Solution ◽  
Integrodifferential Equations ◽  
Dimensional System ◽  
Fractional Differential

There are many published papers about fractional integrodifferential equations and system of fractional differential equations. The goal of this paper is to show that we can investigate more complicated ones by using an appropriate basic theory. In this way, we prove the existence and uniqueness of solution for ak-dimensional system of multiterm fractional integrodifferential equations with antiperiodic boundary conditions by applying some standard fixed point results. An illustrative example is also presented.

scholarly journals Existence of solution for 2-D time-fractional differential equations with a boundary integral condition

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Lotfi Kasmi ◽  
Amara Guerfi ◽  
Said Mesloub
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Integral Boundary Conditions ◽  
Integral Condition ◽  
Existence Of Solution ◽  
Boundary Integral ◽  
Integral Boundary ◽  
Fractional Differential ◽  
Time Fractional Differential Equations ◽  
Uniqueness Of A Solution

AbstractIn this article, we prove the existence and uniqueness of a solution for 2-dimensional time-fractional differential equations with classical and integral boundary conditions. We start by writing this problem in the operator form and we choose suitable spaces and norms. Then we establish prior estimates from which we deduce the uniqueness of the strong solution. For the existence of solution for the fractional problem, we prove that the range of the operator generated by the considered problem is dense.

scholarly journals Solvability of infinite systems of fractional differential equations in the spaces of tempered sequences

Filomat ◽  
2019 ◽  
Vol 33 (17) ◽  
pp. 5519-5530 ◽  
Author(s):  
Anupam Das ◽  
Bipan Hazarika ◽  
Ravi Agarwal ◽  
Hemant Nashine
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Fractional Differential Equations ◽  
Hausdorff Measure ◽  
Measure Of Noncompactness ◽  
Existence Of Solution ◽  
Hausdorff Measure Of Noncompactness ◽  
Infinite Systems ◽  
Fractional Differential

In this paper we discuss the existence of solution of infinite systems of fractional differential equations with the help of Hausdorff measure of noncompactness and Meir-Keeler fixed point theorem in the tempered sequence spaces. We provide examples to established the applicability of our results.

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