Terminal value problem for Riemann‐Liouville fractional differential equation in the variable exponent Lebesgue space Lp(.)$$ {L}^{p(.)} $$
نویسندگان
چکیده
In this manuscript, the existence, uniqueness, and stability of solutions to terminal value problem Riemann-Liouville fractional equations are established in variable exponent Lebesgue spaces L p ( . ) $$ {L}^{p(.)} We convert using generalized intervals piece-wise constant function. Further, Banach contraction principle is used, Ulam-Hyers-stability examined, finally, we construct an example.
منابع مشابه
Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation
This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.
متن کاملTriple Positive Solutions for Boundary Value Problem of a Nonlinear Fractional Differential Equation
متن کامل
On boundary value problem for fractional differential equations
In this paper, we study the existence of solutions for a fractional boundary value problem. By using critical point theory and variational methods, we give some new criteria to guarantee that the problems have at least one solution and infinitely many solutions.
متن کاملPositive Solution for Boundary Value Problem of Fractional Dierential Equation
In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.
متن کاملPositive solution for boundary value problem of fractional dierential equation
In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Methods in The Applied Sciences
سال: 2023
ISSN: ['1099-1476', '0170-4214']
DOI: https://doi.org/10.1002/mma.8964