The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Nonlocal Cauchy Problem for Fractional Nonlinear Integrodifferential Equations


Affiliations
1 Department of Mathematics, Sri Ramakrishna Mission Vidyalaya, College of Arts and science, Coimbatore 641 020, India
     

   Subscribe/Renew Journal


In this paper we discuss the existence and uniqueness of solutions to the nonlocal fractional nonlinear integrodifferential equations

Dqx(t) = f(t, x(t), ∫t0 a(t,s)h(s, x(s))ds), t ∈ [0, T] x(0) + g(x) = x0, where 0 < q < 1

in a Banach space. We use classical tools from functional analysis to obtain the results.


Keywords

Cauchy Problem, Fractional Integrodifferential Quations, Krasnoselkii Theorem.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 203

PDF Views: 0




  • Nonlocal Cauchy Problem for Fractional Nonlinear Integrodifferential Equations

Abstract Views: 203  |  PDF Views: 0

Authors

R. Murugesu
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya, College of Arts and science, Coimbatore 641 020, India
S. Suguna
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya, College of Arts and science, Coimbatore 641 020, India

Abstract


In this paper we discuss the existence and uniqueness of solutions to the nonlocal fractional nonlinear integrodifferential equations

Dqx(t) = f(t, x(t), ∫t0 a(t,s)h(s, x(s))ds), t ∈ [0, T] x(0) + g(x) = x0, where 0 < q < 1

in a Banach space. We use classical tools from functional analysis to obtain the results.


Keywords


Cauchy Problem, Fractional Integrodifferential Quations, Krasnoselkii Theorem.