Arjumand Seemab
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View article: Langevin equation with nonlocal boundary conditions involving a $ \psi $-Caputo fractional operators of different orders
Langevin equation with nonlocal boundary conditions involving a $ \psi $-Caputo fractional operators of different orders Open
This paper studies Langevin equation with nonlocal boundary conditions involving a ψ-Caputo fractional operators of different orders. By the aid of fixed point techniques of Krasnoselskii and Banach, we derive new results on existence and …
View article: On the existence and Ulam-Hyers stability of a new class of partial (Φ,χ)-fractional differential equations with impulses
On the existence and Ulam-Hyers stability of a new class of partial (Φ,χ)-fractional differential equations with impulses Open
In this paper, we consider the newly defined partial (?,?)-fractional integral and derivative to study a new class of partial fractional differential equations with impulses. The existence and Ulam-Hyers stability of solutions for the prop…
View article: Langevin equation with nonlocal boundary conditions involving a $ψ$--Caputo fractional operator
Langevin equation with nonlocal boundary conditions involving a $ψ$--Caputo fractional operator Open
This paper studies Langevin equation with nonlocal boundary conditions involving a $ψ$--Caputo fractional derivatives operator. By the aide of fixed point techniques of Krasnoselskii and Banach, we derive new results on existence and uniqu…
View article: Langevin equation with nonlocal boundary conditions involving a $\psi$--Caputo fractional operator
Langevin equation with nonlocal boundary conditions involving a $\psi$--Caputo fractional operator Open
This paper studies Langevin equation with nonlocal boundary conditions involving a $\psi$--Caputo fractional derivatives operator. By the aide of fixed point techniques of Krasnoselskii and Banach, we derive new results on existence and un…
View article: Green's functions for boundary value problems of generalized fractional differential equations with p-Laplacian
Green's functions for boundary value problems of generalized fractional differential equations with p-Laplacian Open
We utilize the recently presented generalized fractional derivatives, which are not the same as standard Caputo and Riemann-Liouville fractional derivatives, to reformulate some boundary value problems of fractional differential equations.…
View article: On the existence of positive solutions for generalized fractional boundary value problems
On the existence of positive solutions for generalized fractional boundary value problems Open
The existence of positive solutions is established for boundary value problems defined within generalized Riemann–Liouville and Caputo fractional operators. Our approach is based on utilizing the technique of fixed point theorems. For the …
View article: EXISTENCE AND STABILITY ANALYSIS BY FIXED POINT THEOREMS FOR A CLASS OF NON-LINEAR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS
EXISTENCE AND STABILITY ANALYSIS BY FIXED POINT THEOREMS FOR A CLASS OF NON-LINEAR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS Open
The main purpose of this work is to establish existence result and stability criteria for a class of fractional order differential equations using fixed point theorems.Existence results are based on Schauder's fixed point theorem, Banach c…